Explanation Given: The function f is continuous and f ( a ) and f ( b ) are local minima . Here, the value of b is greater than a . Proof: Consider a function f that is continuous on the interval [ a , b ] . The function has local minimum as f ( a ) and f ( b ) . The function has local minimum at a on the interval [ a , b ] that means the function rises after the point x = a . The function has local minimum at b on the interval [ a , b ] that means the function does not exist after the point x = b . A function f has only one local minimum or maximum on the interval [ a , b ]

CALCULUS EARLY TRANSCENDENTALS W/ACHIEVE

4th Edition

ISBN: 9781319057664

Author: Rogawski

Publisher: MAC HIGHER

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 4.2, Problem 101E

To determine

To show:

That the value c exists between a and b such that f(c) is local maximum if f is continuous.

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Chapter 4.2, Problem 100E

Chapter 4.3, Problem 1PQ

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Chapter 4 Solutions

CALCULUS EARLY TRANSCENDENTALS W/ACHIEVE

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That the value c exists between a and b such that f ( c ) is local maximum if f is continuous.

Solution Summary: The author explains that the value c exists between a and b, such that f(c) is local maximum if

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That the value c exists between a and b such that f(c) is local maximum if f is continuous.

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That the value c exists between a and b such that f ( c ) is local maximum if f is continuous.

Solution Summary: The author explains that the value c exists between a and b, such that f(c) is local maximum if

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To show: That the value c exists between a and b such that f(c) is local maximum if f is continuous.

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Chapter 4 Solutions

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That the value c exists between a and b such that f(c) is local maximum if f is continuous.