A table of values for f, g, f ', and g' is given.

Question

A table of values for f, g, f ', and g' is given.

f(x) g(x) f '(x) g'(x)

x
1	3	2	4	6
2	1	8	5	7
3	7	2	7	9

(a) If h(x) = f(g(x)), find h'(1).

h'(1) = 

(b) If H(x) = g(f(x)), find H'(2).

H'(2) =  

Answer 1

h'(1) = f'(g(1))·g'(1) = f'(2)·6 = 5·6 = 30;

H'(2) = g'(f(2))·f'(2) = g'(1)·5 = 6·5 = 30