Calculus (Calc 1 & 2, AP, VCE, JEE, NEET, IB)
DrOfEng
- 12 / 126
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Intro to Calculus, Change at an Instant, Limits - AP Calculus AB/BC
1:12

Intro to Calculus, Change at an Instant, Limits - AP Calculus AB/BC

This video provides an introduction to Calculus while briefly explaining how a limit can define the instantaneous rate of change from the average rate of change. This video is part of Unit 1 of AP Calculus BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
2 comments
2
Definition of a Limit, Limit Notation - AP Calculus AB/BC
0:47

Definition of a Limit, Limit Notation - AP Calculus AB/BC

This AP Calculus AB/BC video provides a loose definition for a limit. The epsilon-delta definition or the precise definition of a limit will be covered in future videos. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
3
Estimating Limits From Graphs - AP Calculus AB/BC
1:24

Estimating Limits From Graphs - AP Calculus AB/BC

This AP Calculus AB/BC video illustrates how limits can be estimated from graphs, and several examples of cases where the limit does not exist. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Estimating Limits from Tables - AP Calculus AB/BC
1:04

Estimating Limits from Tables - AP Calculus AB/BC

This AP Calculus AB/BC video illustrates how limits can be estimated numerically from tables. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
5
Determine Limits using their Algebraic Properties - AP Calculus AB/BC
1:36

Determine Limits using their Algebraic Properties - AP Calculus AB/BC

This AP Calculus AB/BC video illustrates how limits can be determined using their algebraic properties. Several theorems are introduced to simplify and evaluate limits of sums, differences, products, quotients and composite functions. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Determine Limits using Algebraic Manipulation - AP Calculus AB/BC
1:45

Determine Limits using Algebraic Manipulation - AP Calculus AB/BC

This AP Calculus AB/BC video illustrates several algebraic techniques to rearrange expressions into their equivalent forms to simplify the evaluation of their limits: factorisation, conjugates, reciprocals and composite functions. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
7
Selecting Procedures to Evaluate Limits, Tables, Graphs, Algebra - AP Calculus AB/BC
11:04

Selecting Procedures to Evaluate Limits, Tables, Graphs, Algebra - AP Calculus AB/BC

This AP Calculus AB/BC video provides practice problems for selecting an appropriate procedure to evaluate limits. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Determine Limits using the Squeeze Theorem - AP Calculus AB/BC
3:12

Determine Limits using the Squeeze Theorem - AP Calculus AB/BC

This AP Calculus AB/BC video explains the squeeze theorem for evaluating limits. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Multiple Representations of Limits - AP Calculus AB/BC
12:41

Connecting Multiple Representations of Limits - AP Calculus AB/BC

This AP Calculus AB/BC video provides a practice problem for connecting multiple representations of limits. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Types of Discontinuities, Removable, Jump, Essential - AP Calculus AB/BC
2:08

Types of Discontinuities, Removable, Jump, Essential - AP Calculus AB/BC

This AP Calculus AB/BC video explains the different types of discontinuities in a funtion at a given x value: removable, removable (point), jump and essential (asymptote). This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Types of Discontinuities, Removable, Essential, Jump, Examples - AP Calculus AB/BC
2:20

Types of Discontinuities, Removable, Essential, Jump, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides practice problems on identifying the different types of discontinuities using the graphical and analytical representations of a function. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
Defining Continuity at a Point - AP Calculus AB/BC
0:48

Defining Continuity at a Point - AP Calculus AB/BC

This AP Calculus AB/BC video explains three conditions that must be satisfied for a function to be continuous at a point. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Defining Continuity at a Point, Examples - AP Calculus AB/BC
3:07

Defining Continuity at a Point, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on determining if a function is continuous at a point. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
14
Confirming Continuity over an Interval - AP Calculus AB/BC
1:10

Confirming Continuity over an Interval - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to confirm the continuity of a function over an interval. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Confirming Continuity over an Interval, Examples - AP Calculus AB/BC
2:57

Confirming Continuity over an Interval, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on detemining the intervals over which a function is continuous. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Removing Discontinuities - AP Calculus AB/BC
1:26

Removing Discontinuities - AP Calculus AB/BC

This AP Caluclus AB/BC video explains how to identify and remove removable discontinuities. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Removing Discontinuities, Examples - AP Calculus AB/BC
5:10

Removing Discontinuities, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a practice problem on how to identify and remove discontinuities. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Infinite Limits and Vertical Asymptotes - AP Calculus AB/BC
0:53

Connecting Infinite Limits and Vertical Asymptotes - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to find vertical asymptotes using infinite limits. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Connecting Infinite Limits and Vertical Asymptotes, Example - AP Calculus AB/BC
1:32

Connecting Infinite Limits and Vertical Asymptotes, Example - AP Calculus AB/BC

This AP Calculus AB/BC video provides a practice problem on how to find vertical asymptotes using infinite limits. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Limits at Infinity and Horizontal Asymptotes - AP Calculus AB/BC
0:54

Connecting Limits at Infinity and Horizontal Asymptotes - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to find horizontal asymptotes using limits at infinity. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Relative Magnitudes of Functions, Horizontal Asymptotes, Limits - AP Calculus AB/BC
1:20

Relative Magnitudes of Functions, Horizontal Asymptotes, Limits - AP Calculus AB/BC

This AP Calculus AB/BC video explains how horizontal asymptotes can be used to find the relative magnitudes of functions. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Limits at Infinity and Horizontal Asymptotes, Examples - AP Calculus AB/BC
1:31

Connecting Limits at Infinity and Horizontal Asymptotes, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a practice problem on how to find horizontal asymptotes using limits at infinity. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Intermediate Value Theorem - AP Calculus AB/BC
1:03

Intermediate Value Theorem - AP Calculus AB/BC

This AP Calculus AB/BC video explains the Intermediate Value Theorem, which can be used to determine if a continuous function has a solution in a closed interval. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Intermediate Value Theorem, Examples - AP Calculus AB/BC
3:40

Intermediate Value Theorem, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on using the Intermediate Value Theorem to determine if a continuous function has a solution in a closed interval. This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
25
Average and Instantaneous Rates of Change at a Point - AP Calculus AB/BC
1:28

Average and Instantaneous Rates of Change at a Point - AP Calculus AB/BC

This AP Calculus AB/BC video derives the derivative (or instantaneous rate of change at a point) from the average rate of a change. The average rate of change can be represented in multiple ways. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Defining the Derivative, using Derivative Notation - AP Calculus AB/BC
1:10

Defining the Derivative, using Derivative Notation - AP Calculus AB/BC

This AP Calculus AB/BC video gives the definition of the derivative (or instantaneous rate of change at a point) and multiple notations for representing the derivative. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Defining the Derivative, sqrt(x), 2^x, Examples - AP Calculus AB/BC
2:04

Defining the Derivative, sqrt(x), 2^x, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on using the definition of the derivative. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation (Definition and Fundamental Properties). You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Representation of the Derivative - AP Calculus AB/BC
1:53

Representation of the Derivative - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to represent the derivative graphically, numerically, analytically and verbally. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Estimating the Derivative of a Function at a Point, using Tables and Graphs - AP Calculus AB/BC
1:13

Estimating the Derivative of a Function at a Point, using Tables and Graphs - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to estimate the derivative of a function at a point using tables and graphs. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Estimating the Derivative of a Function at a Point, using Technology - AP Calculus AB/BC
0:47

Estimating the Derivative of a Function at a Point, using Technology - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to estimate the derivative of a function at a point using technology. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Differentiability and Continuity - AP Calculus AB/BC
2:03

Connecting Differentiability and Continuity - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to determine if a function is differentiable. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Connecting Differentiability and Continuity, Example - AP Calculus AB/BC
1:41

Connecting Differentiability and Continuity, Example - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on how to determine if a function is differentiable. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Applying the Power Rule - AP Calculus AB/BC
1:14

Applying the Power Rule - AP Calculus AB/BC

This AP Calculus AB/BC video proves the power rule using the definition of the derivative. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Derivative Rules, Constant, Sum, Difference and Constant Multiple - AP Calculus AB/BC
1:32

Derivative Rules, Constant, Sum, Difference and Constant Multiple - AP Calculus AB/BC

This AP Calculus AB/BC video shows several rules for simplifying the derivatives of polynomial functions (also applies to other functions). This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Derivative Rules, Example - AP Calculus AB/BC
0:51

Derivative Rules, Example - AP Calculus AB/BC

This AP Calculus AB/BC video gives a worked example on using the derivative rules to evaluate the derivative of a function with polynomial and radical terms. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Derivatives of Elementary Functions, cos(x), sin(x), e^x, ln(x) - AP Calculus AB/BC
4:47

Derivatives of Elementary Functions, cos(x), sin(x), e^x, ln(x) - AP Calculus AB/BC

This AP Calculus AB/BC video derives the derivative of the elementary functions cos(x), sin(x), e^x and ln(x) using the definition of the derivative. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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The Product Rule, Differentiation - AP Calculus AB/BC
1:30

The Product Rule, Differentiation - AP Calculus AB/BC

This AP Calculus AB/BC video derives the product rule for evaluating the derivatives of the products of differentiable functions. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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The Product Rule, Differentiation, Examples - AP Calculus AB/BC
2:42

The Product Rule, Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on applying the product rule for evaluating the derivatives of the products of differentiable functions. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
39
The Quotient Rule, Differentiation, Mnemonic - AP Calculus AB/BC
0:44

The Quotient Rule, Differentiation, Mnemonic - AP Calculus AB/BC

This AP Calculus AB/BC video defines the quotient rule for evaluating the derivatives of the quotients of differentiable functions. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Quotient Rule, Differentiation, Examples - AP Calculus AB/BC
1:48

Quotient Rule, Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on applying the quotient rule for evaluating the derivatives of the quotients of differentiable functions. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Derivatives of tan(x), cot(x), sec(x) and cosec(x) - AP Calculus AB/BC
3:29

Derivatives of tan(x), cot(x), sec(x) and cosec(x) - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to evaluate the derivatives of trig functions using trig identities and derivative rules. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Derivatives of Trig Functions, Examples - AP Calculus AB/BC
3:55

Derivatives of Trig Functions, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on evaluating the derivatives of trig functions using trig identities and derivative rules. This video is part of Unit 2 of AP Calculus AB/BC on Differentiation - Definition and Fundamental Properties. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Chain Rule, Composite Functions - AP Calculus AB/BC
1:30

Chain Rule, Composite Functions - AP Calculus AB/BC

This AP Calculus AB/BC video defines the chain rule for differentiating composite functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Chain Rule, Differentiation, Examples - AP Calculus AB/BC
3:07

Chain Rule, Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on using the chain rule for differentiating composite functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Implicit Differentiation, Chain Rule - AP Calculus AB/BC
1:07

Implicit Differentiation, Chain Rule - AP Calculus AB/BC

This AP Calculus AB/BC video defines implicit functions and demonstrates how to differentiate them using the chain rule. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Implicit Differentiation, Examples - AP Calculus AB/BC
3:53

Implicit Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on implicit differentiation. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Inverse Functions, Differentiation, Bijective - AP Calculus AB/BC
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Inverse Functions, Differentiation, Bijective - AP Calculus AB/BC

This AP Calculus AB/BC video defines inverse functions and their derivative. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Inverse Functions, Differentiation, Examples - AP Calculus AB/BC
3:48

Inverse Functions, Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on evaluating the derivative of an inverse function. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Inverse Trig Functions, Differentiation - AP Calculus AB/BC
1:20

Inverse Trig Functions, Differentiation - AP Calculus AB/BC

This AP Calculus AB/BC video demonstrates how to obtain the derivatives of inverse trigonometric functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Inverse Trig Functions, Differentiation, Examples - AP Calculus AB/BC
6:42

Inverse Trig Functions, Differentiation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on evaluating the derivatives of inverse trig functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Inverse Trig Functions, Differentiation, Summary - AP Calculus AB/BC
0:55

Inverse Trig Functions, Differentiation, Summary - AP Calculus AB/BC

This AP Calculus AB/BC video provides a summary of the general derivatives of inverse trig functions and tips on how to remember them. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Selecting Procedures to Calculate Derivatives, Examples - AP Calculus AB/BC
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Selecting Procedures to Calculate Derivatives, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on selecting procedures to evaluate derivatives. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Higher-Order Derivatives, Second Derivative - AP Calculus AB/BC
1:07

Higher-Order Derivatives, Second Derivative - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to obtain the higher-order derivatives of a function. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Second Derivative, Examples - AP Calculus AB/BC
4:09

Second Derivative, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on how to obtain the second derivative of a function. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
55
Logarithmic Differentiation, log_a[u(x)] (BONUS) - AP Calculus AB/BC
1:05

Logarithmic Differentiation, log_a[u(x)] (BONUS) - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to apply logarithmic differentiation to composite logarithmic functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
56
Logarithmic Differentiation, a^[u(x)] (BONUS) - AP Calculus AB/BC
1:02

Logarithmic Differentiation, a^[u(x)] (BONUS) - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to apply logarithmic differentiation to composite exponential functions. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Logarithmic Differentiation, Quotient Rule (BONUS) - AP Calculus AB/BC
0:58

Logarithmic Differentiation, Quotient Rule (BONUS) - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to apply logarithmic differentiation to the quotient of functions to avoid applying the quotient rule. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Logarithmic Differentiation, Examples (BONUS) - AP Calculus AB/BC
3:10

Logarithmic Differentiation, Examples (BONUS) - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on logarithmic differentiation. This video is part of Unit 3 of AP Calculus AB/BC on Differentiation - Composite, Implicit and Inverse Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Interpreting the Meaning of the Derivative in Context - AP Calculus AB/BC
1:08

Interpreting the Meaning of the Derivative in Context - AP Calculus AB/BC

This AP Calculus AB/BC video explains how the meaning of the derivative can be interpreted in a particular context. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
60
Interpreting the Meaning of the Derivative in Context, Example - AP Calculus AB/BC
0:59

Interpreting the Meaning of the Derivative in Context, Example - AP Calculus AB/BC

This AP Calculus AB/BC video provides a worked example on interpreting the meaning of the derivative in context. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
61
Straight Line Motion, Position, Displacement Vs Distance - AP Calculus AB/BC
2:13

Straight Line Motion, Position, Displacement Vs Distance - AP Calculus AB/BC

This AP Calculus AB/BC video explains the difference between displacement and distance in one-dimensional rectilinear motion of a particle. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
62
Straight Line Motion, Average Vs Instantaneous Velocity, Speed - AP Calculus AB/BC
1:41

Straight Line Motion, Average Vs Instantaneous Velocity, Speed - AP Calculus AB/BC

This AP Calculus AB/BC video explains the difference between average and instantaneous velocity in one-dimensional rectilinear motion of a particle. Speed is also defined. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
63
Straight Line Motion, Average and Instantaneous Acceleration - AP Calculus AB/BC
1:31

Straight Line Motion, Average and Instantaneous Acceleration - AP Calculus AB/BC

This AP Calculus AB/BC video defines average and instantaneous acceleration in one-dimensional rectilinear motion of a particle. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Straight Line Motion, Connecting Position, Velocity and Acceleration - AP Calculus AB/BC
1:24

Straight Line Motion, Connecting Position, Velocity and Acceleration - AP Calculus AB/BC

This AP Calculus AB/BC video explains how to connect position, velocity and acceleration by reading a position-time curve. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
65
Straight Line Motion, Derivative, Worked Examples - AP Calculus AB/BC
10:02

Straight Line Motion, Derivative, Worked Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on the contextual applications of the derivative to motion problems. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
2 comments
66
Rates of Change in Applied Contexts, other than Motion, Examples - AP Calculus AB/BC
2:26

Rates of Change in Applied Contexts, other than Motion, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on the derivative as a rate of change in the context of a non-motion problem. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
67
Introduction to Related Rates - AP Calculus AB/BC
1:40

Introduction to Related Rates - AP Calculus AB/BC

This AP Calculus AB/BC video gives an introduction to related rates problems. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Solving Related Rates Problems, Cylinder, Ladder, Cone, Examples - AP Calculus AB/BC
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Solving Related Rates Problems, Cylinder, Ladder, Cone, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers worked examples on solving related rates problems. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Approximating Values of a Function, Local Linearity - AP Calculus AB/BC
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Approximating Values of a Function, Local Linearity - AP Calculus AB/BC

This AP Calculus AB/BC video explains how the derivative can be used to give a local linear approximation to a function. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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Local Linearity, Error Approximation - AP Calculus AB/BC
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Local Linearity, Error Approximation - AP Calculus AB/BC

This AP Calculus AB/BC video explains how the derivative can be used to give an approximation of the error from a measurement. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
1 comment
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Local Linearity, Error Approximation, Examples - AP Calculus AB/BC
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Local Linearity, Error Approximation, Examples - AP Calculus AB/BC

This AP Calculus AB/BC video covers a worked example on local linearity and approximation of a function using the derivative. This video is part of Unit 4 of AP Calculus AB/BC on Contextual Applications of Differentiation. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.
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L'Hopital's Rule - Calculus
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L'Hopital's Rule - Calculus

This calculus video cover a tutorial on how to prove L'Hopital's rule for indeterminate limits. L'Hospital's rule is used to evaluate limits of the indeterminate forms 0/0 and infty/infty. An informal proof of L'hopital's rule is given for limits of the indeterminate form 0/0. The basic idea of L'hopital's rule is to take the derivatives of the functions in the numerator and denominator until the limit becomes determinate.
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L'Hopital's Rule - Calculus
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L'Hopital's Rule - Calculus

This calculus video cover a tutorial on how to prove L'Hopital's rule for indeterminate limits. L'Hospital's rule is used to evaluate limits of the indeterminate forms 0/0 and infty/infty. An informal proof of L'hopital's rule is given for limits of the indeterminate form infty/infty. The basic idea of L'hopital's rule is to take the derivatives of the functions in the numerator and denominator until the limit becomes determinate.
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L'Hopital's Rule - Calculus
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L'Hopital's Rule - Calculus

This calculus video demonstrates how to use L'Hopital's rule to evaluate limits. L'Hospital's rule is used to evaluate limits of the indeterminate forms 0/0 and infty/infty. Several worked examples are covered to test your understanding of L'hopital's rule. The basic idea of L'hopital's rule is to take the derivatives of the functions in the numerator and denominator until the limit becomes determinate.
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Mean Value Theorem, Derivatives - Calculus
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Mean Value Theorem, Derivatives - Calculus

This calculus video covers a tutorial on the definition of the mean value theorem for derivatives, which is an analytical application of the derivative to determine the average value of a function in a closed interval. The mean value theorem can give more than one point in a continuous interval where the instantaneous rate of change is equal to the average rate of change.
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Mean Value Theorem for Derivatives, Examples - Calculus
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Mean Value Theorem for Derivatives, Examples - Calculus

This calculus video covers a tutorial on the mean value theorem for derivatives, which is an analytical application of the derivative to determine the average value of a function in a closed interval. Several examples are covered to demonstrate the mean value theorem.
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Extreme Value Theorem - Calculus
1:07

Extreme Value Theorem - Calculus

This calculus video covers a tutorial on the definition of the extreme value theorem, which is an analytical application of the derivative to determine the minimum and maximum of a continuous function in a closed interval. The extreme value theorem states that if a function is continuous over a closed interval, it has at least one minimum and one maximum.
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Critical Points - Calculus
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Critical Points - Calculus

This calculus video covers a tutorial on the definition of a critical point. For a continuous function f(x), there is a critical point at x=c if f'(c)=0 or f'(c) does not exist. Hence, at a critical point, the slope of the tangent to the curve is horizontal or vertical.
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Global and Local Extrema - Calculus
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Global and Local Extrema - Calculus

This calculus video covers a tutorial on global and local extrema. Global extrema are also known as absolute extrema and local extrema are referred to as relative extrema. A visual is provided to show how all local extrema occur at critical points but not all critical points are global extrema.
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Extreme Value Theorem, Extrema, Critical Points, Examples - Calculus
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Extreme Value Theorem, Extrema, Critical Points, Examples - Calculus

This calculus video covers a tutorial on the extreme value theorem, global and local extrema, and critical points. Worked examples are provided to reinforce your understanding.
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Derivative, f(x) Increasing or Decreasing - Calculus
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Derivative, f(x) Increasing or Decreasing - Calculus

This calculus video covers a tutorial on how to use the derivative to determine if a function is increasing on decreasing on an interval.
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First Derivative Test, Local Extrema - Calculus
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First Derivative Test, Local Extrema - Calculus

This calculus video covers a tutorial on how to use the first derivative test to find relative or local extrema.
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First Derivative Test, Example - Calculus
1:02

First Derivative Test, Example - Calculus

This calculus video covers a tutorial on how to use the first derivative test to find relative or local extrema. A worked example on the first derivative test is provided on finding critical points and intervals on which a function is increasing or decreasing.
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Candidates Test, Global Extrema - Calculus
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Candidates Test, Global Extrema - Calculus

This calculus video covers a tutorial on how to use the candidates test to find absolute or global extrema.
1 comment
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Candidates Test, Global Extrema, Example - Calculus
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Candidates Test, Global Extrema, Example - Calculus

This calculus video covers a tutorial on how to use the candidates test to find absolute or global extrema. A worked example is used to reinforce your understanding.
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Concavity of Functions, Second Derivative - Calculus
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Concavity of Functions, Second Derivative - Calculus

This calculus video covers a tutorial on how the second derivative can be used to determine the concavity of a function over its domain. The second derivative can also be used to identify inflection points.
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Second Derivative Test, Local Extrema - Calculus
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Second Derivative Test, Local Extrema - Calculus

This calculus video covers a tutorial on how the second derivative can be used to determine if a critical point is a local minimum or a local maximum.
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Second Derivative Test, Local Extrema, Example - Calculus
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Second Derivative Test, Local Extrema, Example - Calculus

This calculus video covers a tutorial on how the second derivative can be used to determine if a critical point is a local minimum or a local maximum, and identify inflection points. A worked example is covered to reinforce your understanding.
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Graphs of Functions and their Derivatives, Curve Sketching - Calculus
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Graphs of Functions and their Derivatives, Curve Sketching - Calculus

This calculus video covers a tutorial on sketching the graphs of functions and their derivatives. Curve sketching is one of the main analyical applications of derivatives.
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Curve Sketching, Examples - Calculus
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Curve Sketching, Examples - Calculus

This calculus video covers a tutorial on sketching the graphs of functions and their derivatives. Curve sketching is one of the main analyical applications of derivatives.
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Connecting a Function and its Derivatives - Calculus
1:37

Connecting a Function and its Derivatives - Calculus

This calculus video covers a tutorial on how a function and its derivatives are connected.
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Intro to Optimisation Problems - Calculus
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Intro to Optimisation Problems - Calculus

This calculus video covers a tutorial that introduces optimisation problems and provides a basic strategy on how to solve them.
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Optimization Problems - Calculus
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Optimization Problems - Calculus

This calculus video covers a tutorial on solving optimization problems.
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Implicit Relations, Behavior - Calculus
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Implicit Relations, Behavior - Calculus

This calculus video covers a tutorial on the behavior of implicit relations. Similar to explicit functions, critical points can be found by setting the derivative to zero and the concavity at a point can be determined by the second derivative. This calculus video covers a tutorial on the behavior of implicit relations. Similar to explicit functions, critical points can be found by setting the derivative to zero and the concavity at a point can be determined by the second derivative. 0:00 Explaining the behavior of implicit relations using derivatives 1:48 Worked example on determining if the implicit function is increasing or decreasing 2:29 Worked example on determining if the implicit function concave up or concave down 3:32 Worked example on finding the equation of the normal and tangent to a curve 4:44 Worked example on finding the minimum or maximum of an implicitly defined curve
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Accumulation of Change - Calculus
2:01

Accumulation of Change - Calculus

This calculus video covers a tutorial on how to determine the accumulation of change of a function by using the area under the rate curve. This gives an introduction to how integrals work.
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Riemann Sums, Approximating Areas - Calculus
12:18

Riemann Sums, Approximating Areas - Calculus

This calculus video covers a tutorial on Riemann sums for approximating the area under a curve. 0:00 Introduction to Riemann sums 1:27 Left Riemann sum 2:40 Right Riemann sum 3:43 Midpoint Riemann sum 4:59 Trapezoidal sum 6:22 Worked example, left Riemann sum 7:11 Worked example, right Riemann sum 7:57 Worked example, midpoint Riemann sum 9:12 Worked example, trapezoid method 10:14 Approximate areas under curves using technology
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Definite Integrals Vs Riemann Sums - Calculus
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Definite Integrals Vs Riemann Sums - Calculus

This calculus video covers a tutorial on definite integrals and how they can be derived from Riemann sums for obtaining the exact area under a curve. 0:00 Definition of a definite integral 1:31 Translating a definite integral to a Riemann sum 3:27 Worked example on deriving a definite integral from a Riemann sum 4:52 Worked example on translating a definite integral to a Riemann sum
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Fundamental Theorem of Calculus, Accumulation Functions - Calculus
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Fundamental Theorem of Calculus, Accumulation Functions - Calculus

This calculus video covers a tutorial on the fundamental theorem of calculus and accumulation functions.
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Behaviour of Accumulation Functions, Area - Calculus
1:36

Behaviour of Accumulation Functions, Area - Calculus

This calculus video covers a tutorial on the behaviour or accumulation functions that involve the area under a curve.
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Properties of Definite Integrals, Discontinuities - Calculus
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Properties of Definite Integrals, Discontinuities - Calculus

This calculus video covers a tutorial on the properties of definite integrals and how to evaluate them over intervals with removable and jump discontinuities. 0:00 Properties of definite integrals 1:39 Evaluating definite integrals over intervals with removable and jump discontinuities
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Fundamental Theorem of Calculus, Definite Integrals - Calculus
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Fundamental Theorem of Calculus, Definite Integrals - Calculus

This calculus video covers a tutorial on the fundamental theorem of calculus and definite integrals.
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Indefinite Integrals, Antiderivatives - Calculus
11:07

Indefinite Integrals, Antiderivatives - Calculus

This calculus video covers a tutorial on indefinite integrals and anti-derivatives. 0:00 Power rule for integration 1:31 Integrals using derivatives elementary functions 2:46 Integrals using derivatives of trig functions 4:20 Integrals using derivatives of inverse trig functions 5:35 Integrals using the derivatives of log and exponential functions 6:53 Worked examples on evaluating accumulation functions by integration 9:48 Worked example on the power rule for integration 10:21 Worked example on integrating trig functions
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103
Integration by Substitution, u-substitution - Calculus
10:49

Integration by Substitution, u-substitution - Calculus

This calculus video covers a tutorial on evaluating integrals using u-substitution. 0:00 Deriving the u-substitution integral from the chain rule 1:13 Integration of definite integrals by u-substitution 2:15 Worked examples on integration by substitution
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Integration, Long Division, Completing the Square - Physics
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Integration, Long Division, Completing the Square - Physics

This calculus video covers a tutorial on evaluating integrals by polynomial long division and completing the square. 0:00 Intro to integration by polynomial long division 0:52 Intro to integration by completing the square 1:35 Worked examples on integration by polynomial long division 5:10 Worked example on integration by completing the square
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105
Integration by Parts - Calculus
6:39

Integration by Parts - Calculus

This calculus video covers a tutorial on evaluating integrals by parts. 0:00 Intro to integration by parts 0:57 Worked examples on integration by parts
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106
Integration, Partial Fractions - Calculus
11:07

Integration, Partial Fractions - Calculus

This calculus video covers a tutorial on evaluating integrals using partial fractions. 0:00 Distinct linear factors 1:15 Repeated linear factors 3:17 Irreducible quadratic factors 4:48 Worked examples on integration using partial fractions
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Improper Integrals - Calculus
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Improper Integrals - Calculus

This calculus video covers a tutorial on evaluating improper integrals using limits. 0:00 Intro to improper integrals 1:33 Worked examples on evaluating improper integrals
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Integration, Examples - Calculus
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Integration, Examples - Calculus

This calculus video covers a tutorial which provides worked examples on selecting methods for integration including the power rule, u-substitution, algebra, partial fractions, completing the square, polynomial long division, trig substitution, trig identities, dummy variables and integration by parts. 0:00 Intro to selecting integration methods 2:02 Worked examples on integration
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Intro to Differential Equations, Modelling - Calculus
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Intro to Differential Equations, Modelling - Calculus

This calculus video covers a tutorial which provides an introduction to differential equations and modelling.
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Verifying Solutions to Differential Equations - Calculus
2:09

Verifying Solutions to Differential Equations - Calculus

This calculus video covers a tutorial on verifying if a function is a solution to a differential equation.
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Sketching Slope Fields, Differential Equations - Calculus
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Sketching Slope Fields, Differential Equations - Calculus

This calculus video covers a tutorial on sketching slope fields for differential equations. 0:00 Intro to slope fields 1:01 Worked example on sketching slope fields
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Sketching Solution Curves, Slope Fields - Calculus
2:28

Sketching Solution Curves, Slope Fields - Calculus

This calculus video covers a tutorial on sketching solution curves for differential equations using slope fields.
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113
Euler's Method, Approximating Solutions to ODEs - Calculus
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Euler's Method, Approximating Solutions to ODEs - Calculus

This calculus video covers a tutorial on using Euler's method to approximate solutions to first order ordinary differential equations.
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Separation of Variables, General Solution, ODEs - Calculus
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Separation of Variables, General Solution, ODEs - Calculus

This calculus video covers a tutorial on how to obtain the general solution of a separable ODE using the separation of variables.
3 comments
115
Separation of Variables, Particular Solution, ODEs - Calculus
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Separation of Variables, Particular Solution, ODEs - Calculus

This calculus video covers a tutorial on how to obtain the particular solution of a separable ODE using the separation of variables. 0:00 Separation of variables, particular solution 2:04 Worked examples
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116
Exponential Models, Growth, Decay, Differential Equations - Calculus
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Exponential Models, Growth, Decay, Differential Equations - Calculus

This calculus video covers a tutorial on using differential equations to model exponential growth and decay. 0:00 Modelling exponential growth and decay using ODEs 1:41 Worked examples on exponential growth and decay
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Logistic Growth Model, Differential Equations - Calculus
5:44

Logistic Growth Model, Differential Equations - Calculus

This calculus video covers a tutorial on the logistic growth model. 0:00 Intro to the logistic growth model 1:40 Finding a particular solution 2:53 Verifying the carrying capacity 3:54 Time at the maximum population growth rate
7 comments
118
Mean Value Theorem, Integration, Average Value, Continuous Function - Calculus
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Mean Value Theorem, Integration, Average Value, Continuous Function - Calculus

This calculus video covers a tutorial that may be useful for the AP, VCE, JEE, NEET, IB exams. It explains how the mean value theorem for integrals can be used to find the average value of a continuous function over a closed interval, including a worked example.
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Displacement Vs Distance, Speed Vs Velocity, Acceleration, Integration - Calculus
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Displacement Vs Distance, Speed Vs Velocity, Acceleration, Integration - Calculus

This video explains the meaning of displacement and difference to distance, simple definition of speed and velocity, and how acceleration is calculated. 0:00 Connecting position, velocity and acceleration using graphs and integrals 2:17 Worked examples
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120
Definite Integrals, Applied Contexts, Accumulation Functions - Calculus
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Definite Integrals, Applied Contexts, Accumulation Functions - Calculus

The video explains what is and how to apply a definite integral in context with example problems. You will understand what does it mean in simple terms and real world situations that involve definite integrals, as well as the meaning of formulas of accumulation functions. 0:00 Definite integrals in applied contexts 1:35 Worked examples
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121
Definite Integrals, Area Between Curves, Functions of x - Calculus
2:36

Definite Integrals, Area Between Curves, Functions of x - Calculus

How to find the area under the curve or between curves by integration. What the value (can be negative) or formula means or refers to is dependent on the application. Rectangles perpendicular to the x axis tell you that the integral is with respect to x. 0:00 Finding areas between curves using definite integrals 0:52 Worked examples
4 comments
122
Definite Integrals, Area Between Curves, Functions of y - Calculus
4:26

Definite Integrals, Area Between Curves, Functions of y - Calculus

How to find the area under the curve or between curves by integration. What the value (can be negative) or formula means or refers to is dependent on the application. Rectangles perpendicular to the y axis tell you that the integral is with respect to y. 0:00 Finding areas between curves using definite integrals 1:25 Worked examples
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Definite Integrals, Area Between Two Curves, Intersection Points - Calculus
6:10

Definite Integrals, Area Between Two Curves, Intersection Points - Calculus

Why the definite integral is the area under a curve or between two curves using examples. Understanding the meaning and properties of the formula or equation, if it gives the negative or net area, making appropriate substitutions for the limits of integration and how to solve area problems using the definite integral. 0:00 Finding areas between curves using definite integrals 1:35 Worked examples
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124
Volumes with Cross Sections, Squares and Rectangles, Examples - Calculus
4:07

Volumes with Cross Sections, Squares and Rectangles, Examples - Calculus

How to find the volume of a prism with a constant cross-section or solid object with a cross section using integration. Basic geometry is used to derive the square cross-section formula. Worked examples and practice problems are covered for visualization. Square cross sections are covered while triangles (e.g. isosceles) and semicircles are deferred to another tutorial. 0:00 Finding the volume of solids with cross-sections using definite integrals 1:19 Worked examples
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Volumes with Cross Sections, Triangles and Semicircles, Examples - Calculus
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Volumes with Cross Sections, Triangles and Semicircles, Examples - Calculus

How to find the volume of a prism with a constant cross-section or solid object with a cross section using integration. Basic geometry is used to derive the triangle and semi-circle cross-section formula. Worked examples and practice problems are covered for visualization. Triangle (equilateral and isosceles) and semicircle cross sections are covered. 0:00 Volume of solids with triangle cross-sections 3:25 Volume of solids with semicircle cross-sections 4:37 Worked examples
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Volume with the Disk Method, Revolved Solid Around x or y axis, Cone, Sphere - Calculus
5:57

Volume with the Disk Method, Revolved Solid Around x or y axis, Cone, Sphere - Calculus

Integration using the disc method to find the volume of solid of revolution, and what it is. Examples show how to know when to use it (e.g. vs the washer or shell method), what is the R, integral formula about x axis and y axis, and derive the formula to calculate the volume of a sphere and cone. 0:00 Volume with disk method 1:53 Worked examples

Defining Continuity at a Point - AP Calculus AB/BC

7 months ago
6
Science Education

This AP Calculus AB/BC video explains three conditions that must be satisfied for a function to be continuous at a point.

This video is part of Unit 1 of AP Calculus AB/BC on Limits and Continuity.

You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.

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