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AP® Calculus AB-BC

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Derivative of $\cos\left( { x }^{ 2 }-1 \right)$

APCALC-IMVLKE

Given the function $f^{ \prime }\left( x \right) =\cos { \left( { x }^{ 2 }-1 \right) }$, find $f^{\prime\prime}(x)$.

A

$-\sin { ( { x }^{ 2 }-1 ) } $

B

$\sin { ( { x }^{ 2 }-1 ) } $

C

$-2\sin { ( { x }^{ 2 }-1 ) } $

D

$-2x\sin { ( { x }^{ 2 }-1 ) } $