Explanation Given information: The value is f ′ ( 0 ) = 0 . According to Mean value theorem if a function f ( x ) is continuous on [ a , b ] and differentiable in the interval ( a , b ) and if f ( a ) = f ( b ) then there exists at least one variable c such that. f ′ ( c ) = f ( b ) − f ( a ) b − a Substitute a = 0 , b = x 0 in above equation

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 4, Problem 80SP

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Chapter 4, Problem 79SP

Chapter 4, Problem 81SP

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Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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The equation f ′ ( x 0 ) + c 2 f ( w ) x 0 = 1

Solution Summary: The author explains that if a function f(x) is continuous, and differentiable in the interval, then there exists at least one variable.

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Chapter 4 Solutions