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AP® Calculus AB-BC

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Difficult

Chain Rule with Exponential Trigonometric Functions

APCALC-DVF9UX

What is the derivative of $h(x)=e^{\sin^2 x}$?

A

$e^{\sin^2 x}$

B

$\cos^2 x \cdot e^{\sin^2 x}$

C

$2\cos x \cdot e^{\sin^2 x}$

D

$2\sin x \cos x \cdot e^{\sin^2 x}$