The table values for the given function and the compare the value of first derivative with a visual approximation of the slope of the graph.
Answer to Problem 54E
Using Desmos graphing utility, the graph of the given function is
And the table values are as follows:
0 | 0.5 | 1 | 1.5 | 2 | |||||
0 | |||||||||
When comparing the values of the first derivative with a visual approximation of the slope of the graph, they appear to the same.
Explanation of Solution
Giveninformation:
The given function is
0 | 0.5 | 1 | 1.5 | 2 | |||||
Calculations:
Using Desmos graphing utility, the graph of the given function is
And the table values are as follows:
0 | 0.5 | 1 | 1.5 | 2 | |||||
0 | |||||||||
Conclusion:
When comparing the values of the first derivative with a visual approximation of the slope of the graph, they appear to the same.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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