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AP® Calculus AB-BC

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Moderate

Find the Derivative, Implicit Differentation

APCALC-MG1M97

Find $\cfrac{dy}{dx}$ at the point $(4,1)$ when $3xy^2+4 \ln y=x^2-4y^2$.

A

$\cfrac{11}{36}$

B

$\cfrac{5}{36}$

C

$\cfrac{11}{20}$

D

$\cfrac{5}{20}$