Question

Find dy/dx when y=log(x)/log(x)−2

Answer 1

$\\ \sf\longmapsto \dfrac{dy}{dx}$

$\\ \sf\longmapsto \dfrac{d}{dx}\dfrac{log(x)}{log(x)-2}$

$\\ \sf\longmapsto \dfrac{\dfrac{d}{dx}logx}{\dfrac{d}{dx}logx-2}$

$\\ \sf\longmapsto \dfrac{1/x}{1/x-0}$

$\\ \sf\longmapsto \dfrac{x}{x}$

$\\ \sf\longmapsto 1$