To calculate: The value of a for which
Answer to Problem 32E
The value of a for which
Explanation of Solution
Given information:
The function
Formula used:
Chain rule for differentiation is if f is a function of gthen
Logarithmic base rule for differentiation is
Power rule for differentiation is
Calculation:
Consider the function
Differentiate curve both sides with respect to x ,
Recall that logarithmic base rule for differentiation is
It is given that
Take exponential on both sides of the equation, and use exponential property which is
Thus, the value of a for which
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