Question

Suppose that f(2)=3 and f′(2)=5. Let g(x)=x^3f(x). Evaluate g′(2). Your final answer should be a single number.

Answer 1

g = x^3 f
g' = x^3 f' + 3x^2 f
g'(2) = 8f'(2) + 12f(2)
= 8*5 + 12*3
= 76

Answer 2

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