Mathematics

Problem

Let

f

be differentiable and invertible with

f(1)=3

and

f'(1)=-2

. Define

h(x)=\sin\bigl(f^{-1}(x)\bigr)

. Evaluate

h'(3)

. a)

-\dfrac{\sin 1}{2}

-\dfrac{\cos 1}{2}

-\cos 1

d) \dfrac{\cos 1}{2}