Single Variable Calculus

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Moderate

Implicit Differentiation with Quotient Rule

SVCALC-RWVC0K

Find $y'$ for the function:

$$\frac{x}{y}=x^2+xy^2$$

A

$y'=-\cfrac{2xy^2+y^4}{x-2xy^3}$

B

$y'=\cfrac{2xy^2+y^4-y}{x+2xy^3}$

C

$y'=-\cfrac{2xy^2+y^4-y}{x-2xy^3}$

D

$y'=2xy^2+y^4-y$