Question

find the derivative of sin2x i need explanation plzz

Answer 1

Let y = sin 2x

We know that derivative of sin x is cos x

Let us substitute 2x = u

Then y = sin u and u = 2x

dy/du = cos u and du/dx =2

So we have

dy/dx = dy/du (du/dx) = 2cos u = 2 cos 2x.