6 Jan 2022
Problem 57b
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.
To find the absolute extrema points. Evaluate the value of 
at each of the critical points and also the end points. Out of these, the maximum value of is absolute maximum. And, the minimum value of is absolute minimum. Note that there will be only one absolute maximum and one absolute minimum. Also note that all this is true only when the intervals are closed.
Finding the critical numbers
Critical points of are the values of 
for which 
does not exist, or if it exists it is zero.
when 
Therefore the critical numbers are
Note that these points lie in the given interval 
The end points are 
To determine absolute extrema points, we should find
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
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