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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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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.
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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