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AP® Calculus AB-BC

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Difficult

Evaluate Derivative with Exponential Rule

APCALC-4WKT9R

Let $g(x)=4^x$. Find $g' \left(\cfrac{1}{2} \right)$.

A

$\cfrac{\ln 4}{2}$

B

$\cfrac{1}{4}$

C

$4 \ln 2$

D

$\cfrac{1}{\ln 2}$