Suppose that f' is integrable and |f'(x)| M for all x. Prove that |f(x)| |f(a)|

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Suppose that f' is integrable and |f'(x)| ≤ M for all x. Prove that |f(x)| ≤ |f(a)| +M|x -a| for every a.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:03 AM

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Suppose that f' is integrable and |f'(x)| M for all x. Prove that |f(x)| |f(a)|

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Calculus

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