Question

The figure above shows the graphs of the functions f and g. If h(x) = f(x) g(x), then h’(2) =

Answer 1

h(x) = f(x)g(x)

h'(x) = f(x)g'(x) + f'(x)g(x)

h'(2) = f(2)g'(2) + f'(2)g(2)

h'(2) = 3(-2) + (1/2)(1) = -6 + 1/2 = -11/2

The correct answer is D.