Suppose that f (x) = ex and g(x) = xex. Use mathematical induction together with the product

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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

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:31 PM

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Suppose that f (x) = ex and g(x) = xex. Use mathematical induction together with the product

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When n 1 we are looking for the derivative of gx xe x which by the pr...View the full answer

Discrete Mathematics and Its Applications

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