if y=e1/2log(1+tan2x) then find dy/dx - Maths - Application of Derivatives

Question

if y=e1/2log(1+tan 2x) then find dy/dx

Anuradha Sharma · Accepted Answer

Given y = e12log1+tan2xNow applying chain rule we get, so dydx= e12log1+tan2xddx12log1+tan2x= 12e12log1+tan2x1log1+tan2xddx1+tan2x=e12log1+tan2x2log1+tan2x0+sec22xddx×2x =e12log1+tan2x×sec22xlog1+tan2x

if y=e1/2log(1+tan 2x) then find dy/dx.

if y=e^1/2log(1+tan ^{2x) then find dy/dx.}