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AP® Calculus AB-BC

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Interpret and Use Notation for Derivatives, Chain Rule Usage

APCALC-XVIMQX

If:

$h(x)=f^2(x)+3g^2(x)$
$g'(x)=-2f(x)$
$f'(x)=2g(x)$

...then $h'(x)=$

A

$4g(x)-12f(x)$

B

$-8f(x)g(x)$

C

$(2g(x))^2+3(-f(x))^2$

D

$2(-2g(x)+6f(x))$