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Functions and DerivativesLocal extrema Use the sign

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass ISBN: 9780321884077 57

Solution for problem 4AAE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 4AAE

Functions and Derivatives

Local extrema Use the sign pattern for the derivative  to identify the points where ƒ has local maximum and minimum values.

Step-by-Step Solution:

Step 1:

In this question we have to find the points where ƒ has local maximum and minimum values given that the derivative is  .

Step 2:

From the above equation ƒ has local maximum or minimum values when . i.e. when

. When  approaches from the left side of  say (),

       

Therefore,  has local minimum at .

Step 3:

When  approaches from the left side of say (),  

       

Therefore,  has local maximum at .

Step 4 of 5

Chapter 4, Problem 4AAE is Solved
Step 5 of 5

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

The answer to “Functions and DerivativesLocal extrema Use the sign pattern for the derivative to identify the points where ƒ has local maximum and minimum values.” is broken down into a number of easy to follow steps, and 23 words. The full step-by-step solution to problem: 4AAE from chapter: 4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This full solution covers the following key subjects: local, maximum, Derivatives, extrema, functions. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. Since the solution to 4AAE from 4 chapter was answered, more than 235 students have viewed the full step-by-step answer.

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Functions and DerivativesLocal extrema Use the sign

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