To find: The value of
Answer to Problem 64E
The value of
Explanation of Solution
Given:
The function is
Formula used:
The Chain Rule:
If h is differentiable at x and g is differentiable at
Product Rule:
If
Calculation:
Obtain the derivative of
Apply the chain rule as shown in equation (1)
Apply the product rule as shown in equation (2)
Apply the chain rule as shown in equation (1)
Apply the product rule as shown in equation (2)
Substitute
Given
Given,
Given,
Therefore, the value 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