AP Calculus AB/BC
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Intro to Calculus, Change at an Instant, Limits - AP Calculus AB/BC
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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.
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Definition of a Limit, Limit Notation - AP Calculus AB/BC
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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.
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.
4
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.
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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.
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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.
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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.
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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.
17
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.
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19
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.
1 comment
21
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.
29
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.
31
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
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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.
1 comment

Estimating Limits From Graphs - AP Calculus AB/BC

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4 months ago
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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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