To prove: The value of expression
Answer to Problem 47E
value of expression
Explanation of Solution
Given information:
The expression
Formula used:
The derivative of a function f at a point a is expressed as,
Proof:
Consider expression
Since,
Recall that the derivative of a function f at a point a is expressed as,
Apply it,
So, here
Now, evaluate the derivative of the function
Now, the value of derivative at
Therefore, the expression is reduced to,
Hence, it is proved that value of expression
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