Concept explainers
(a)
To express: The average rate of change of y with respect to x over the interval
(a)
Answer to Problem 11RCC
The average rate of change of y with respect to x is
Explanation of Solution
Result used:
The average rate of change of y with respect to x is
Calculation:
The average rate of change of y with respect to x is
Where
The average rate of change of y with respect to x over the interval
Thus the average rate of change of y with respect to x is
(b)
To express: The instantaneous rate of change of y with respect to x at
(b)
Answer to Problem 11RCC
The instantaneous rate of change of y with respect to x at
Explanation of Solution
Result used:
The instantaneous rate of change of the function
Now the instantaneous rate of change of the function
Thus the instantaneous rate of change of y with respect to x at
Chapter 2 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