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AP® Calculus AB-BC

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Moderate

Higher Order Derivatives: Simplifying a Polynomial Function

APCALC-KHQ7UP

If $y=\left( { x }^{ 3 }+2 \right) \left( { x }^{ 2 }-x \right) $, then ${ y }^{ \prime \prime }=$

A

$5{ x }^{ 4 }-4{ x }^{ 3 }+4{ x }-2$

B

$20{ x }^{ 3 }-12{ x }^{ 2 }+4x$

C

$20{ x }^{ 3 }-12{ x }^{ 2 }+4$

D

$60{ x }^{ 2 }-24x$