Concept explainers
To find: The critical number of the function
Answer to Problem 30E
The critical number 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)
If two functions
Calculation:
Obtain the first derivative of the given function.
Apply the Quotient rule as shown in equation (1),
Take
Obtain the roots of the equation by using the
Therefore, the roots are,
Since the expression
Hence, it fails to satisfy the definition of critical number.
Thus, the critical numbers 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