MHB Finding tangents, given (x,y) information

[musad]

Stuck on another calculus question and not sure where to begin:

For each h(x) defined below, find h′(2), given that f(2)=−3,g(2)=3,f′(2)=−3 and g′(2)=7.
a) h(x)=f(x)g(x)

b) h(x)=g(x)/1+f(x)

c) h(x)=x^2/f(x)

d) h(x)=g(x)/x^2

Thanks for all your help. Sorry for bombarding but these are the last few that I am stuck on.

 

[Siron]

Question a).
Step 1: Calculate the first derivative
$$h'(x) = [f(x)g(x)]' = f'(x)g(x)+f(x)g'(x)$$
Step 2: Plug in the values $f(2),f'(2),g(2)$ and $g'(2)$.

The others are similar.