2. a) Give an example of a function f: R →R that is differentiable everywhere and 1- to-1, but f'(x) = 0 for some xE R. No need to verify your example works.
2. a) Give an example of a function f: R →R that is differentiable everywhere and 1- to-1, but f'(x) = 0 for some xE R. No need to verify your example works.
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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Transcribed Image Text:2. a) Give an example of a function f: R→R that is differentiable everywhere and 1-
to-1, but f'(x) = 0 for some xE R. No need to verify your example works.
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