Question

find dy /dx if xy + y² = 2​

Answer 1

Step-by-step explanation:

Given function is xy + y² = 2

Differentiating w.r.t x , we get,

$y + x \frac{dy}{dx} + 2y \frac{dy}{dx} = 0$

$= > y + (x + 2y) \frac{dy}{dx} = 0$

$= > \frac{dy}{dx} = - \frac{y}{x + 2y}$