Concept explainers
(a)
To graph: The function of
(a)
Explanation of Solution
Given information:
The given function is
Graph:
Consider the function
(a)
Sketch the graph of
is as follows:
Figure (1)
Interpretation: Graph for the functions
(b)
To explain: The behavior as
(b)
Answer to Problem 56E
The behavior as
Explanation of Solution
Given information:
The given function is
Calculation:
Note that
From the graph it is clear that as
Use I ‘Hospital’s Rule to explain this behavior.
Note that as
Since the limit is an indeterminate form of type
Rewrite the limit as,
(c)
To find: The minimum value and intervals.
(c)
Answer to Problem 56E
There is no inflection points of
Explanation of Solution
Given information:
The given function is
Calculation:
From the graph, the minimum value occurs
The inflection point no occurs
Use derivative concept to explain these features.
Differentiate the given function with respect to x,
For
Therefore, the local minimum occurs
Differentiate
To find the inflection points,
Observe that not possible values for x if
Therefore,
The no inflection points of
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