Concept explainers
(a)
To sketch: the graph of the function
(a)
Answer to Problem 79E
The total number of extrema is 2.
Explanation of Solution
Given information:
Calculation:
Consider the function,
Rewrite the function as,
The graph of
From the graph, it is observed that there are two local extrema for the function,
Thus, the total number of extrema is 2.
(b)
To explain: the reason of the given function must have two local extrema.
(b)
Answer to Problem 79E
There are two local extrema for the function
Explanation of Solution
Given information:
Given function,
If
Calculation:
If
The graph of the function
Observe the graph, it is clear that the function is increasing on the interval
In fact,
This means that the function
In the same situation, in reverse, happens at
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th 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