(a)
To find: The derivative of the function
(a)
Answer to Problem 25E
The derivative of
Explanation of Solution
Given:
The function is
Derivative rules:
(1)
(2) Power Rule:
Calculation:
Obtain the derivative of
Apply the difference rule (1),
Apply the power rule (2) and simplify further,
Therefore, the derivative of
(b)
To check: The derivatives of
(b)
Answer to Problem 25E
The derivatives of
Explanation of Solution
Graph:
Use the online graphing calculator and draw the graph of
Observation:
From Figure 1, it is noticed that,
If
If
If
Therefore, it can be concluded that the derivative of the function
Chapter 3 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