To find: The reason whether the function has derivatives of all orders at the given value of
Answer to Problem 6QR
The answer is: The given function has derivatives at all orders at
Explanation of Solution
Given information:
The function is
Calculation:
The first derivative of the function is determined by the
Thus,
Determine the additional derivatives by applying the Power Rule.
Since in each derivative the numerator is a constant, and the denominator is a power of
Therefore the given function has derivatives at all orders at
Chapter 9 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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