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AP Calculus AB Unit 3: Differentiation - Composite, Implicit, and Inverse Functions
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AP Calculus AB Unit 3: Differentiation - Composite, Implicit, and Inverse Functions

Collector: Ann V.
Reviewed by Lesson Planet
Publisher
Lesson Planet Curated

The seven lessons in Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions have AP Calculus learners watch videos and complete practice problems covering key concepts. Scholars learn when to apply the Chain Rule and how to use it to determine the derivative of composite functions and learn the process of implicit differentiation and apply it to find the vertical and horizontal tangent lines of curves. Other lessons teach them about differentiating inverse functions and how to differentiate inverse trigonometric functions. After a review of methods to determine derivatives, pupils learn how to find higher-order derivatives. The unit 3 review tests individuals' knowledge of derivatives, including the Chain Rule, functions, implicit differentiation, second derivatives, inverses, and tangent lines.

40 Items 51 Views 14 Saves
Reviewed by Lesson Planet

Collection Details

Concepts

chain rule, composite functions, derivatives, domain, implicit differentiation, inverse functions, differential calculus, inverse trigonometric functions, tangent lines

Resource Details

Grade
11th - 12th
Subjects
Math
1 more...
Resource Type
Units
Audiences
For Teacher Use
1 more...

Collection Items

    Calculus AB/BC - The Chain Rule

    Calculus AB/BC - The Chain Rule

    AP Test Prep
    The Chain Rule (.html)

    The Chain Rule (.html)

    Teacher Reference
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Calculus AB/BC - Implicit Differentiation

    Calculus AB/BC - Implicit Differentiation

    AP Test Prep
    Implicit Differentiation (.html)

    Implicit Differentiation (.html)

    Teacher Reference
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Calculus AB/BC - Differentiating Inverse Functions

    Calculus AB/BC - Differentiating Inverse Functions

    AP Test Prep
    Differentiating Inverse Functions (.html)

    Differentiating Inverse Functions (.html)

    Teacher Reference
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Differentiating Inverse Trigonometric Functions (.html)

    Differentiating Inverse Trigonometric Functions (.html)

    Teacher Reference
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Calculus AB/BC - Differentiating Inverse Trigonometric Functions

    Calculus AB/BC - Differentiating Inverse Trigonometric Functions

    AP Test Prep
    Calculus AB/BC - Selecting Procedures for Derivatives

    Calculus AB/BC - Selecting Procedures for Derivatives

    AP Test Prep
    Selecting Procedures for Derivatives (.html)

    Selecting Procedures for Derivatives (.html)

    Teacher Reference
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Calculus AB/BC - Calculating Higher-Order Derivatives

    Calculus AB/BC - Calculating Higher-Order Derivatives

    AP Test Prep
    Calculating Higher-Order Derivatives (.html)

    Calculating Higher-Order Derivatives (.html)

    Teacher Reference
    Practice Packet (.pdf)

    Practice Packet (.pdf)

    Worksheet
    Practice Solutions (.pdf)

    Practice Solutions (.pdf)

    Answer Key
    Corrective Assignment 1 (.pdf)

    Corrective Assignment 1 (.pdf)

    Worksheet
    Corrective Assignment 2 (.pdf)

    Corrective Assignment 2 (.pdf)

    Worksheet
    Calculus AB/BC Unit 3 Review: Differentiation

    Calculus AB/BC Unit 3 Review: Differentiation

    AP Test Prep
    Unit 3 Review: Differentiation (.html)

    Unit 3 Review: Differentiation (.html)

    Teacher Reference
    Review Solutions (.pdf)

    Review Solutions (.pdf)

    Answer Key
    Corrective Assignment (.pdf)

    Corrective Assignment (.pdf)

    Worksheet
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