Question

Differentiate the following w.r. to x. x/(x+1)​

Answer 1

$y = \frac{x}{x + 1} \\ \\ \frac{dy}{dx} = \frac{(x + 1) .1 - x(1 + 0)}{( {x + 1})^{2} } \\ \\ \frac{dy}{dx} = \frac{x + 1 - x}{( {x + 1})^{2} } \\ \\ \frac{dy}{dx} = \frac{1}{( {x + 1})^{2} }$