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AP® Calculus AB-BC

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Find the Derivative, Quotient Rule and Exponential Rule

APCALC-1CGQ5E

Find $ \cfrac{dy}{dx} $ when $e^y=\cfrac{x^2}{y}$.

A

$\cfrac{dy}{dx} =\cfrac{2y}{xy-x}$

B

$\cfrac{dy}{dx} =\cfrac{2y-xy}{x}$

C

$\cfrac{dy}{dx} =\cfrac{2y}{xy+x}$

D

$\cfrac{dy}{dx}= \cfrac{2y+xy}{x}$