Concept explainers
To find: The critical number of the function
Answer to Problem 26E
There is no critical point for 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)
The Power Rule:
If n is positive integer, then
Calculation:
Obtain the first derivative of the given function.
Take
Apply
Thus, the roots are,
Here, the roots are not real as the discriminant (−11) is less than 0.
Therefore, it fails to satisfy the conditions of definition of the critical numbers.
Hence there is no critical point for the given function.
Thus, there is no critical point.
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