Explanation Given information: first and second derivative test. First derivative test is used for relative extrema of a function. According to first derivative theorem if a function f ( x ) is continuous on ( a , b ) and c is a critical number then the point ( c , f ( c ) ) is a relative maximum . Second derivative test is used for relative extrema of a function

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 4, Problem 7PE

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Chapter 4 Solutions

Calculus

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The first and second derivativetest.

Solution Summary: The author explains that the first and second derivativetests are used for relative extrema of a function.

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