AP Calculus AB/BC
DrOfEng
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1
Intro to Calculus, Change at an Instant, Limits - AP Calculus AB/BC
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DrOfEng
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
Definition of a Limit, Limit Notation - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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
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DrOfEng
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
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DrOfEng
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.
6
Determine Limits using Algebraic Manipulation - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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.
8
Determine Limits using the Squeeze Theorem - AP Calculus AB/BC
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DrOfEng
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.
9
Connecting Multiple Representations of Limits - AP Calculus AB/BC
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DrOfEng
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.
Types of Discontinuities, Removable, Jump, Essential - AP Calculus AB/BC
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DrOfEng
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.
11
Types of Discontinuities, Removable, Essential, Jump, Examples - AP Calculus AB/BC
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DrOfEng
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.
12
Defining Continuity at a Point - AP Calculus AB/BC
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DrOfEng
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.
13
Defining Continuity at a Point, Examples - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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.
15
Confirming Continuity over an Interval, Examples - AP Calculus AB/BC
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DrOfEng
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.
16
Removing Discontinuities - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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.
18
Connecting Infinite Limits and Vertical Asymptotes - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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.
20
Connecting Limits at Infinity and Horizontal Asymptotes - AP Calculus AB/BC
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DrOfEng
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.
21
Relative Magnitudes of Functions, Horizontal Asymptotes, Limits - AP Calculus AB/BC
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DrOfEng
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.
22
Connecting Limits at Infinity and Horizontal Asymptotes, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
23
Intermediate Value Theorem - AP Calculus AB/BC
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DrOfEng
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.
24
Intermediate Value Theorem, Examples - AP Calculus AB/BC
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DrOfEng
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.
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25
Average and Instantaneous Rates of Change at a Point - AP Calculus AB/BC
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DrOfEng
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.
26
Defining the Derivative, using Derivative Notation - AP Calculus AB/BC
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DrOfEng
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.
27
Defining the Derivative, sqrt(x), 2^x, Examples - AP Calculus AB/BC
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DrOfEng
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.
28
Representation of the Derivative - AP Calculus AB/BC
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DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
30
Estimating the Derivative of a Function at a Point, using Technology - AP Calculus AB/BC
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DrOfEng
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
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DrOfEng
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.
32
Connecting Differentiability and Continuity, Example - AP Calculus AB/BC
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DrOfEng
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.
33
Applying the Power Rule - AP Calculus AB/BC
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DrOfEng
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.
34
Derivative Rules, Constant, Sum, Difference and Constant Multiple - AP Calculus AB/BC
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DrOfEng
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.
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35
Derivative Rules, Example - AP Calculus AB/BC
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DrOfEng
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.
36
Derivatives of Elementary Functions, cos(x), sin(x), e^x, ln(x) - AP Calculus AB/BC
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DrOfEng
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.
37
The Product Rule, Differentiation - AP Calculus AB/BC
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DrOfEng
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.
38
The Product Rule, Differentiation, Examples - AP Calculus AB/BC
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DrOfEng
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.
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39
The Quotient Rule, Differentiation, Mnemonic - AP Calculus AB/BC
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DrOfEng
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.
40
Quotient Rule, Differentiation, Examples - AP Calculus AB/BC
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DrOfEng
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.
41
Derivatives of tan(x), cot(x), sec(x) and cosec(x) - AP Calculus AB/BC
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DrOfEng
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.
42
Derivatives of Trig Functions, Examples - AP Calculus AB/BC
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DrOfEng
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.
43
Chain Rule, Composite Functions - AP Calculus AB/BC
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DrOfEng
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.
44
Chain Rule, Differentiation, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
45
Implicit Differentiation, Chain Rule - AP Calculus AB/BC
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DrOfEng
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.
46
Implicit Differentiation, Examples - AP Calculus AB/BC
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DrOfEng
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.
47
Inverse Functions, Differentiation, Bijective - AP Calculus AB/BC
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DrOfEng
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.
48
Inverse Functions, Differentiation, Examples - AP Calculus AB/BC
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DrOfEng
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.
49
Inverse Trig Functions, Differentiation - AP Calculus AB/BC
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DrOfEng
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.
50
Inverse Trig Functions, Differentiation, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
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51
Inverse Trig Functions, Differentiation, Summary - AP Calculus AB/BC
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DrOfEng
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.
52
Selecting Procedures to Calculate Derivatives, Examples - AP Calculus AB/BC
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DrOfEng
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
53
Higher-Order Derivatives, Second Derivative - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
54
Second Derivative, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
57
Logarithmic Differentiation, Quotient Rule (BONUS) - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
58
Logarithmic Differentiation, Examples (BONUS) - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
59
Interpreting the Meaning of the Derivative in Context - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
64
Straight Line Motion, Connecting Position, Velocity and Acceleration - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
68
Solving Related Rates Problems, Cylinder, Ladder, Cone, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
69
Approximating Values of a Function, Local Linearity - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
70
Local Linearity, Error Approximation - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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
71
Local Linearity, Error Approximation, Examples - AP Calculus AB/BC
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
72
L'Hopital's Rule - Calculus
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
1
comment
73
L'Hopital's Rule - Calculus
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
74
L'Hopital's Rule - Calculus
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
1
comment
75
Mean Value Theorem, Derivatives - Calculus
![DrOfEng](https://1a-1791.com/s/z0/d/d/p/U/ddpUb.asF.4-h7dfn-rktd55.jpeg)
DrOfEng
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.
Types of Discontinuities, Removable, Jump, Essential - AP Calculus AB/BC
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5 months ago
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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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