(a)
To find: The derivative of
(a)
Answer to Problem 46E
The derivative of
Explanation of Solution
Given:
The function is
Derivative rule: Product Rule
If
Calculation:
Obtain the derivative of
Apply the product rule (1) and simplify the terms,
Substitute 2 for x in
From the given graph, it is observed that
Obtain the values
The slope of tangent to
Therefore, the value
The slope of the function
Therefore, the value of
Substitute the values
Therefore, the derivative of
(b)
To find: The derivative of
(b)
Answer to Problem 46E
The derivative of
Explanation of Solution
Given:
The function is
Derivative rule:
If
Calculation:
Obtain the derivative of
Apply the Quotient rule (1) and simplify the terms,
Substitute 7 for x in
From the given graph, it is observed that
Obtain the values
Since the slope of the line at every point is equal, the slope of the function
Therefore, the value of
The slope of the function
Therefore, the value of
Substitute the values
Therefore, the derivative of
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