AP Calculus ABmediummcq1 pt

If f(x)=cos(ex)f(x)=\cos(e^x), then f(x)=f'(x)=

A.sin(ex)-\sin(e^x)
B.exsin(ex)-e^x\sin(e^x)
C.exsin(ex)e^x\sin(e^x)
D.exsinx-e^x\sin x

Explanation

Core Concept

The outer derivative is sin(ex)-\sin(e^x), and the derivative of the inner function exe^x is exe^x. Their product is exsin(ex)-e^x\sin(e^x).

Correct Answer

Bexsin(ex)-e^x\sin(e^x)

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