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AP® Calculus AB-BC

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Moderate

Derivative of Arcsinx

APCALC-HI3JBG

Given $y=( \arcsin { x } ) \sqrt{( 1-{ x }^{ 2 } ) },$ find $dy/dx$.

A

$1$

B

$ -2x$

C

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

D

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