To find: The derivative of the function
Answer to Problem 31E
The derivative of the function
Explanation of Solution
Formula used:
The derivative of a function f at a number a, denoted by
Difference of squares formula:
Calculation:
Obtain the derivative of the function
Use the equation (1) to compute
Multiply both the numerator and the denominator by the conjugate of the numerator,
Apply the difference of square 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