Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1).

Question

X | f(x) G(x) f'(x) g'(x)
____________________________
1 | 8 2 1/3 -3
2 | 3 -4 2π 5

My answer: -6π but I'm not really sure if I did this right

Answer 1

g(1) = 2
f'(2) = 2π

h'(1) = f'(2)*g'(1) = -6π

you are correct