If , for , , prove that d y d x =- 1 (1+x)^…

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

Problem

14. If x1+y+y1+x=0x \sqrt{1+y}+y \sqrt{1+x}=0, for , −1<x<1-1<x<1, prove that dydx=−1(1+x)2\frac{d y}{d x}=-\frac{1}{(1+x)^{2}}

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