AP® Calculus AB-BC

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Moderate

Derivative of Composite Trigonometric Functions

APCALC-ZSHEO1

What is the derivative of $y=4\cos { ( \sin { ( 2x ) } ) } ,$ with respect to $x$?

A

$\cfrac{dy}{dx}=2\cos { ( \sin { ( x ) } ) \cdot \cos { ( 2x ) } } $

B

$\cfrac{dy}{dx}=8\sin { ( \sin { ( 2x ) } ) \cdot \cos { ( x ) } } $

C

$\cfrac{dy}{dx}=-4\sin { ( \sin { ( 2x ) } ) \cdot \cos { ( 2 ) } } $

D

$\cfrac{dy}{dx}=-8\sin { \left( \sin { \left( 2x \right) } \right) \cdot \cos { \left( 2x \right) } } $