To find: The derivative of the function
Answer to Problem 32E
The derivative of the function
Explanation of Solution
Formula used:
The derivative of a function f at a number a, denoted by
Difference of square formula:
Calculation:
Obtain the derivative of the function
Compute
Multiply both the numerator and the denominator by the conjugate of the numerator,
Apply the difference of squares formula,
Since the limit h approaches zero but not equal to zero, cancel the common term h from both the numerator and the denominator,
Thus, the derivative of the function
Chapter 2 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