Mathematics

Problem

Let

f

and

g

be differentiable functions on

\mathbb{R}

(the set of all real numbers) such that

g(1)=2=g'(1)

and

f'(0)=4

. If

h(x)=f(2x\,g(x)+\cos(\pi x)-3)

then

h'(1)

is equal to (a) 28 (b) 24 (c) 32 (d) 18