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6 Jan 2022
Problem 58b
Page 269
Section 4.2: Maximum and Minimum Values
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
6 Jan 2022
Given information
The given equation is 
Step-by-step explanation
Step 1.
The Closed Interval Method To find the absolute maximum and minimum values of a continuous function 
on a closed interval 
:
on a closed interval :1. Find the values of at the critical numbers of in 
.
at the critical numbers of in .2. Find the values of at the endpoints of the interval.
at the endpoints of the interval.3. The largest of the values from Steps 1 and 2 is the absolute maximum value; the smallest of these values is the absolute minimum value.
Definition A critical number of a function is a number 
in the domain of such that either 
or 
does not exist.
The function 
is continuous on 
Equating it with zero we get only one stationary point from the interval and it's in 
.
and it's in .The values of at these critical numbers are:
at these critical numbers are:
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
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- Problem 57a
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- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b
- Problem 60a
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- Problem 61
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- Problem 63
- Problem 64a
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- Problem 65a
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- Problem 65c
- Problem 66a
- Problem 66b