how to differentiate (sin2x) under root using product and qoutient rule - Maths - Limits and Derivatives

Question

how to differentiate (sin2x) under root using product and
qoutient rule

Vipin Verma · Accepted Answer

Let f(x)=dsin2xdxlet u=sin2xthen we havedf(x)dx=dudud(sin2x)dxNow
let 2x=t then we havedf(x)dx=dudud(sint)dxd2xdxdf(x)dx=12ucost
2Putting values we havedf(x)dx=1sin2xcos2xSo,df(x)dx=cos2xsin2x

how to differentiate (sin2x) under root using product and qoutient rule.