[tex]\\ \sf\longmapsto \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}\dfrac{log(x)}{log(x)-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{d}{dx}logx}{\dfrac{d}{dx}logx-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1/x}{1/x-0}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{x}[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
