Explanation Given information: Consider Roll’s theorem. Concept used: Roll’s theorem : if the function f is continuous on [ a , b ] and differential on ( a , b ) , such That, f ( a ) = f ( b ) , the f ' ( x ) = 0 for some x with a ≤ x ≤ b

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Question

Chapter 3.1, Problem 67P

To determine

To prove: That the function f' has two roots, if the function f is continuous and

Differential everywhere and has three roots.

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Chapter 3.1, Problem 66P

Chapter 3.1, Problem 68P

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Chapter 3 Solutions

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To prove: That the function f ' has two roots, if the function f is continuous and Differential everywhere and has three roots.

Solution Summary: The author explains that the function f' has two roots, if it is continuous and differential everywhere and has three roots.

Concept explainers

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To prove: That the function f' has two roots, if the function f is continuous and

Differential everywhere and has three roots.

Want to see the full answer?

Chapter 3 Solutions

To prove: That the function f ' has two roots, if the function f is continuous and Differential everywhere and has three roots.

Solution Summary: The author explains that the function f' has two roots, if it is continuous and differential everywhere and has three roots.

Concept explainers

Videos

To prove: That the function f' has two roots, if the function f is continuous and Differential everywhere and has three roots.

Want to see the full answer?

Chapter 3 Solutions

To prove: That the function f' has two roots, if the function f is continuous and

Differential everywhere and has three roots.