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AP® Calculus AB-BC

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Difficult

$\cos { ( \arcsin { ( 2x ) } ) } $

APCALC-HBIYE4

Given $y=\cos { ( \arcsin { ( 2x ) } ) , } $ find $dy/dx$ in terms of $x$.

A

$-\cfrac{2}{\sqrt{( 1-4{ x }^{ 2 } ) }}$

B

$\cfrac{2}{\sqrt{( 1-4{ x }^{ 2 } ) }}$

C

$-\cfrac{2x}{\sqrt{( 1-4{ x }^{ 2 } ) }}$

D

$-\cfrac{4x}{\sqrt{( 1-4{ x }^{ 2 } ) }}$