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5. Suppose f(x) is differentiable at f(2) = 3 and S'(2) = 5. Let g(2) = x' f(x). Show your work. (a) (6 points) Find

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5. Suppose f(x) is differentiable at f(2) = 3 and S'(2) = 5. Let g(2) = x' f(x). Show your work. (a) (6 points) Find a formula for g'(x). Leave your answer in terms of a, f(x), and f'(z). g (x) =_ (b) (4 points) Find g'(2). !'(2)- (c) (6 points) Find an equation for the tangent line to g(x) at a = 2

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