Differentiate f(x)=sin (sin x)

Question

with respect to x?

Answer 1

The function f(x) = sin(sinx)

Apply derivative on each side with respect to x.

Apply chain rule in derivatives.

d/dx (sinx) = cosx

f'(x) = cos(sinx) (cosx)

f'(x) = cos(x) cos(sinx).