Concept explainers
To find:The
Answer to Problem 18E
First derivative method is slightly easier to apply in this case
Explanation of Solution
Given: The function is
Find the first derivative of the given function.
Thus, the critical points are
The function
So, local maximum value is
The function
So, local maximum value is
By second derivative method.
Since,
So,
So, local minimum value is
And,
Since,
So,
So, local maximum value is
First derivative method is slightly easier to apply in this case.
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