Explanation Given: f ( x ) = continuous function with local minima f ( a ) and f ( b ) Interval: [a, b]. Let, f ( x ) be a continuous function with local minima f ( a ) and f ( b ) on the interval [a, b]. According to Theorem 1, the function f ( x ) must take on both the minimum and maximum values on the interval [a, b]

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 87E

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To prove that if f(x) is continuous function and f(a) and f(b) are local minima on the interval [a, b] then there exist a value c between a and b such that f(c) is a local minimum.

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Chapter 4.2, Problem 86E

Chapter 4.3, Problem 1PQ

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Chapter 4 Solutions

Calculus - Standalone book

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To prove that if f(x) is continuous function and f(a) and f(b) are local minima on the interval [a, b] then there exist a value c between a and b such that f(c) is a local minimum .

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To prove that if f(x) is continuous function and f(a) and f(b) are local minima on the interval [a, b] then there exist a value c between a and b such that f(c) is a local minimum.

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