For the equation

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

For the equation x2ey+y2=5x^{2}e^{y}+y^{2}=5, find dydx\dfrac{dy}{dx} in its simplest form. (a) −xeyx2ey+2y-\dfrac{x e^{y}}{x^{2}e^{y}+2y} (b) 2xeyx2ey+2y\dfrac{2x e^{y}}{x^{2}e^{y}+2y} (c) −2xeyx2ey+2y-\dfrac{2x e^{y}}{x^{2}e^{y}+2y} (d) −2xx2+2y-\dfrac{2x}{x^{2}+2y}

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