AP® Calculus AB-BC

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Difficult

Derivative of $\tan { ( \arccos { x } ) }$

APCALC-HW1LGD

Given $y=\tan { ( \arccos { x } ) , } $ find $\cfrac{dy}{dx}$ in terms of $x$.

A

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

B

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

C

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

D

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