kukerules
Answered

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Find dy/dx when
y=log(x)/log(x)−2

Find Dydx When Ylogxlogx2 class=

Sagot :

[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]

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