Question: Suppose that f (x) = ex and g(x) = xex. Use mathematical induction together with the product rule and the fact that f'(x) = ex

Suppose that f (x) = ex and g(x) = xex. Use mathematical induction together with the product rule and the fact that f'(x) = ex to prove that g(n)(x) = (x + n)ex whenever n is a positive integer.

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Discrete Mathematics and Its Applications 7th edition by Kenneth H. Rosen