Question

find the differential of y=sin2x

Answer 1

dy/dx = d(sin2x)/dy,


=cos2x d(2x)/dx,


=2cos2x

Answer 2

we can find differential of sin 2x by using chain rule.

⇒$\frac{dy}{dx}$ = $\frac{d (sin 2x)}{dx}$

⇒$\frac{dy}{dx}$ = (cos 2x) × 2

⇒$\frac{dy}{dx}$ = 2 cos 2x

hope this will be helpful...