Explanation Given Information: The function of f is not differentiable at some points. Proof: Consider a point x = c of a function f as shown in the diagrams below. The definition of a differentiable function f at a point x = c is given as below. f ' ( c ) = lim x → c f ( x ) − f ( c ) x − c Since f ' ( c ) does not exist at x = c

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 3.2, Problem 6C

To determine

To Prove: The point x=c is not a critical point, an inflection point or a local extremum when the function of f is not differentiable at some points.

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Chapter 3.2, Problem 5C

Chapter 3.2, Problem 7C

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Chapter 3 Solutions

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To Prove: The point x = c is not a critical point, an inflection point or a local extremum when the function of f is not differentiable at some points.

Solution Summary: The author explains that the function of f is not differentiable at some points.

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To Prove: The point x=c is not a critical point, an inflection point or a local extremum when the function of f is not differentiable at some points.

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Chapter 3 Solutions