Explanation Critical Points: Points where f ' ( x ) = 0 or points of non-differentiability. The second derivative test for relative extrema consists of following steps: Find all the critical points of a continuous function defined on an interval ( a , b ) . Let’s say ‘c’. x = c is a point of local maxima if f ( c ) = 0 and f ' ' ( c ) < 0 . In this case f ( c ) is then the local maximum value. x = c is a point of local minima if f ( c ) = 0 and f ' ' ( c ) > 0 . In this case f ( c ) is the local minimum value. The test fails if f ( c ) = 0 and f ' ' ( c ) = 0

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 15PS

To determine

The procedure of finding absolute maxima on a closed bounded interval.

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Chapter 4.1, Problem 14PS

Chapter 4.1, Problem 16PS

Chapter 4 Solutions

Calculus

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The procedure of finding absolute maxima on a closed bounded interval.

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