AP Calculus BC · Unit 3
Differentiation: Composite, Implicit, and Inverse Functions
In short
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions in AP Calculus BC covers 5 topics: The Chain Rule, Differentiating Inverse Functions, Differentiating Inverse Trigonometric Functions, Selecting Procedures for Calculating Derivatives and 1 more. Open each one for what you need to know, a self-check list and how it is tested on the exam.
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What is in Unit 3: Differentiation: Composite, Implicit, and Inverse Functions?
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
3.1 The Chain Rule
3.3 Differentiating Inverse Functions
- I can calculate derivatives of inverse functions.
3.4 Differentiating Inverse Trigonometric Functions
3.5 Selecting Procedures for Calculating Derivatives
- I can identify and select the appropriate mathematical rule or procedure to calculate a derivative based on the structure of a given expression.
3.6 Calculating Higher-Order Derivatives
- I can find the second derivative by differentiating the first derivative, and repeat the process to find higher-order derivatives.
- I can recognize and use various notations for higher-order derivatives, such as f''(x), y'', d^2y/dx^2, and f^(n)(x).
Differentiation: Composite, Implicit, and Inverse Functions: common questions
What is in Unit 3: Differentiation: Composite, Implicit, and Inverse Functions?
It covers 5 topics: 3.1 The Chain Rule; 3.3 Differentiating Inverse Functions; 3.4 Differentiating Inverse Trigonometric Functions; 3.5 Selecting Procedures for Calculating Derivatives; 3.6 Calculating Higher-Order Derivatives.
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