[first item] pls check the image below... Suppose that f is a function such thatf' (c) = 1 for some number c in the interval[a, b]. Is it possible for f (c) to be an absoluteextremum on [a,b]?

Answered: Image /qna-images/answer/5dfd37d0-aeec-42df-a9c4-0ff60398af91.jpg

Answered: Suppose that f is a function such that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that f is a function such that f' (c) = 1 for some number c in the interval [a, b]. Is it possible for f (c) to be an absolute extremum on [a, b]?