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).

Answer 1

product rule

if
h = f g

then
h' = f' g + f g'