Explanation Formula used: Second derivative test: If f ′ ( c ) = 0 and f ″ ( c ) exists, then f ( c ) is a local maximum if f ″ ( c ) < 0 . f ( c ) is a local minimum if f ″ ( c ) > 0 . The test fails if f ″ ( c ) = 0 Calculation: The statement “If f ( c ) is local minimum, then f ″ ( c ) must be positive” is false

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.4, Problem 3PQ

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True or false? If f(c) is local minimum, then f″(c) must be positive.

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Chapter 4.4, Problem 2PQ

Chapter 4.4, Problem 4PQ

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Chapter 4 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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True or false? If f ( c ) is local minimum , then f ″ ( c ) must be positive.

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True or false? If f(c) is local minimum, then f″(c) must be positive.

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Chapter 4 Solutions