Concept explainers
To find: The critical number of the function
Answer to Problem 32E
The critical numbers of the function
Explanation of Solution
Definition used:
A critical number of a function f is a number c, if it satisfies either of the below conditions:
(1)
(2)
Formula used:
Chain Rule:
If two functions
Calculation:
Obtain the first derivative of the given function.
Apply the chain rule as shown in equation (1).
Set
The critical number is at
Also, notice that when the denominator of
Since
Thus, the critical points are –2 and 2.
The critical number of the function
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