If , then…

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

Problem

If x2ey+2xyex+13=0x^2 e^y + 2xye^x + 13 = 0 , then dydx\frac{dy}{dx} equals (1) −2xey−x+2y(x−1)x(xey−x+2)\frac{-2xe^{y-x} + 2y(x-1)}{x(xe^{y-x} + 2)} (2) −[2xey−x+2y(x+1)x(xey−x+2)]-\left[\frac{2xe^{y-x} + 2y(x+1)}{x(xe^{y-x} + 2)}\right] (3) 2xex−y+2y(x−1)x(xey−x+2)\frac{2xe^{x-y} + 2y(x-1)}{x(xe^{y-x} + 2)} (4) None of these

Related theory

Browse the problem library