To calculate: The derivative of the function
Answer to Problem 22E
The derivative of the function is
Explanation of Solution
Given information:
The function
Formula used:
Thechain rule for
Differentiation rule for inverse trigonometric functions is
Product rule for differentiation is
Logarithmic rule for differentiation is
Calculation:
Consider the function
Differentiate both sides with respect to
Recall that product rule for differentiation is
Also apply logarithmic rule for differentiation and chain rule in the terms of the function.
Thus, the derivative of the function is
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