To calculate: The derivative of the function
Answer to Problem 11E
The derivative of the function is
Explanation of Solution
Given information:
The function
Formula used:
Product rule for
Logarithmic rule for differentiation is
Power rule for differentiation is
Calculation:
Consider the function
Differentiate both sides with respect to t ,
Recall that logarithmic rule for differentiation is
Also for the terms of the above expression, apply the product rule for differentiation.
Recall that quotient rule for differentiation is
Apply it to solve
Put this value of
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