Concept explainers
a)
To estimate: The absolute maximum and minimum values of the function
a)
Answer to Problem 60E
The absolute maximum value of
The absolute minimum value of
Explanation of Solution
Graph:
Use the graphing calculator to draw the graph of the function
From Figure 1, it is observed that
Also from Figure 1, it is observed that
Thus, The absolute maximum value of
(b)
To find: The exact maximum and minimum values of the given function
(b)
Answer to Problem 60E
The absolute maximum value of
The absolute minimum value of
Explanation of Solution
Obtain the first derivative of the given function.
Set
Hence, the critical numbers is
Apply the critical points and the interval values in the function
When
When
When
Recall the fact that the largest functional value is absolute maximum and smallest functional value is absolute minimum.
Thus, the absolute maximum value of
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning