calculus problem?

Question

please help me figure out this problem:

suppose that f and g are functions such that f'(5) = -8 and g'(5) = 0
for h(x) = 4 f(x) - 6g(x) + 6

Answer 1

so what are you supposed to find out?

Answer 2

Are you supposed to find h'(5)? If so, then take the derivative of the function h(x):

h(x) = 4 * f(x) - 6 * g(x) + 6
h'(x) = 4 * f'(x) - 6 * g'(x)
h'(5) = 4 * f'(5) - 6 * g'(5)
h'(5) = 4 * -8 - 6 * 0
h'(5) = -32

Answer 3

What's the question here?