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

Calculus

9th edition

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

ISBN: 978-0131429246