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AP® Calculus AB-BC

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Derivative of $cos(x^2-1)$

APCALC-1VWL1X

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

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

C

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

D

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