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  3. ZuAI AP College Board Calculus AB/BC
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Differentiation: Composite, Implicit, and Inverse Functions

Hannah Hill

Hannah Hill

7 min read

Next Topic - The Chain Rule
Study Guide Overview

This study guide covers differentiation for the AP Calculus AB/BC exam, focusing on the chain rule (for composite functions), implicit differentiation, and higher-order derivatives. It also connects these concepts to graphs, tables, and equations, and provides practice questions covering these key areas. It emphasizes understanding the meaning of derivatives, particularly the second derivative and its relationship to concavity.

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Previous Topic - Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant FunctionsNext Topic - The Chain Rule

Question 1 of 9

What is the derivative of y=sin⁡(2x)y = \sin(2x)y=sin(2x)? 🤔

2\cos(2x)

cos⁡(2x)\cos(2x)cos(2x)

−2cos⁡(2x)-2\cos(2x)−2cos(2x)

−2sin⁡(2x)-2\sin(2x)−2sin(2x)