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Single Variable Calculus

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Moderate

Implicit Differentiation of Cubic Function

SVCALC-8PVG0U

Find $y'$ for the function $x^3+y^3=2xy-2$

A

$\cfrac{2y -3x^2}{3y^2-2x}$

B

$\cfrac{2y +3x^2}{3y^2+2x}$

C

$\cfrac{3x^2-2y}{3y^2-2x}$

D

$\cfrac{2y +3x^2}{3y^2-2x}$