Find h '(2) for all real values of x

Question

If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = -2, then find h '(2) if h(x) = f(x) g(x).

Question 4 options:

1)	13
2)	-13
3)	7
4)	-7

Answer 1

Using the Product Rule, h'(2) = f'(2)g(2) + g'(2)f(2) = (1)(3) + (-2)(5) = -7