For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of each of the functions h(x). a) h(x) = x¹ f(x) ○ h'(x) = 4x³ + ƒ'(x) O h'(x) = 4r³ f(x) + x¹ƒ'(x) + x¹ƒ(1) Ⓒh'(x) = 4x³ f'(x) ○ h'(x) = x¹ f'(x) + 4x³ ƒ (x) O None of the above b) h(x) = f'(x)g'(x) 5 ○ h'(x) = {(f(x)g'(x) + g(x)f'(x)) O h'(x) = f(x)g(x) 5 1 ○ h'(x) = (f'(x) + g'(x)) h'(x) = f'(x)g(x) + f(x)g'(x) — 5f(x) g(x) 52

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