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AP® Calculus AB-BC

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Difficult

Evaluate Derivative for Inverse Trig Function

APCALC-R6RSX1

Let $g(x)=\tan^{-1} x$. Find $g' \left(\frac{\sqrt{3}}{3} \right)$.

A

$0$

B

$\cfrac{3}{4}$

C

$\cfrac{\sqrt{6}}{2}$

D

$\cfrac{\pi}{6}$