Concept explainers
(a)
To state: The First derivative test.
(a)
Explanation of Solution
The first derivative test:
“Suppose that c is a critical number of a continuous function f :
(a) If
(b) If
(c) If
(b)
To state: The second derivative test.
(b)
Explanation of Solution
The second derivative test:
“Suppose.
(a) If
(b) If
(c)
To explain: The relative advantages and disadvantages of first and second derivative tests.
(c)
Explanation of Solution
First derivative test guarantees the local
First derivative test is time consuming and its process is lengthy. Also it is necessary to check the behavior of a function over the intervals. Whereas the second derivative test is less time consuming than the first derivative test.
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