AP Calculus ABhardmcq1 pt

If $f(x)=\sin(e^{2x})$ , then $f'(x)=$

\cos(e^{2x})

2\cos(e^{2x})

2e^{2x}\cos(e^{2x})

2e^{2x}\sin(e^{2x})

Explanation

Core Concept

Apply the chain rule twice: the derivative of $\sin u$ is $\cos u$ , and the derivative of $e^{2x}$ is $2e^{2x}$ . Their product is $2e^{2x}\cos(e^{2x})$ .

Correct Answer

C $2e^{2x}\cos(e^{2x})$

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Practice Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Questions →

If f(x)=sin⁡(e2x)f(x)=\sin(e^{2x})f(x)=sin(e2x), then f′(x)=f'(x)=f′(x)=

Explanation

Core Concept

Correct Answer

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