Suppose that $f\!\left(\frac{\pi}{2}\right)=-4$ and $f'\!\left(\frac{\pi}{2}\right)=3,$ and let $g(x) = f(x) \sin x$ and $\displaystyle h(x) = \frac{\cos x}{f(x)}.$ Answer the following questions.

1. Find $g'(\pi/2).$
Answer: $g'(\pi/2) =$

2. Find $h'(\pi/2).$
Answer: $h'(\pi/2) =$