ID: Class: 12 Subject: Math Topic: Derivative Type: Short (SA) Year: 2025

Question:

If \(x\sqrt{1+y}+y\sqrt{1+x}=0,\) with \( -1< x < 1,\), \(x\ne y,\) then prove that \(\frac{dy}{dx}=\frac{-1}{(1+x)^{2}}\).