Concept explainers
To find: The 50th derivative of
Answer to Problem 67E
The 50th derivative of
Explanation of Solution
Given:
The function is
Calculation:
The first derivative of
Thus, the first derivative of
The second derivative of
Simplify the terms,
Thus, the second derivative of
The third derivative of y is computed as follows,
Thus, the third derivative of
Proceed in the similar way, the 50th derivative y is computed as follows,
Since 50 = 12(4) + 2, the remainder is 2 and it corresponds with
Therefore, the 50th derivative of
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