If F(x) = f(g(x)), where f(5) = 5, f '(5) = 3, f '(−4) = 1, g(−4) = 5, and g'(−4) = 7, find F '(−4).

Answer 1

F'(x) = f'(g(x)) * g'(x)

F'(--4) = f'(g(-4)) * g'(-4) = f'( 5) * 7 = 3*7 = 21