Question

If y is equals to sin x whole square find dy by dx

Answer 1

Given that y=sin²x
let sinx=t
then,dy/dx=dy/dt x dt/dx
y=t²
now,dy/dt=2t=2sinx
now since,t=sinx
dt/dx=cosx
dy/dx=dy/dt x dt/dx
=2sinx x cosx
=2sinxcosx
=sin2x
Ans

Hope it helps.