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AP® Calculus AB-BC

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Chain Rule: Composed Inverse Trig Function

APCALC-WEGGQV

Find $f'(x)$ when $f(x)=\sin ^{-1} (3x)$

A

$\cfrac{3}{\sqrt{1-3x^2}}$

B

$\cfrac{3}{\sqrt{1-9x^2}}$

C

$\cfrac{1}{\sqrt{9x^2-1}}$

D

$\cfrac{3}{\sqrt{3x^2-1}}$