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AP® Calculus AB-BC

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Polar Derivatives: Rate of Change of the Radius at Specific Angle

APCALC-SGF4S1

Find the rate of change of the radius for the polar equation $r=4sin(\theta)+cos(2\theta)$ at $\theta=\cfrac{\pi}{6}$.

A

$\sqrt{3}$

B

$3\sqrt{3}$

C

$1$

D

$3$