To calculate: The
Answer to Problem 45E
The
Explanation of Solution
Given information:
The function
Formula used:
Thechain rule for
Power rule for differentiation is
Derivative of
Calculation:
Consider the function
Differentiate both sides with respect to x ,
Recall that chain rule for differentiation is if f is a function of gthen
Derivative of
Apply it.
Again differentiate both sides with respect to x , apply the quotient rule for differentiation is
Again differentiate both sides with respect to x , apply the quotient rule for differentiation is
Now, observe that first derivative can be written as,
Second derivative can be written as,
Third derivative can be written as,
Similarly,
Thus, the
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