Concept explainers
To find: The numbers at which the function f is not differentiable.
Answer to Problem 39RE
The numbers at which the function f is not differentiable are
Explanation of Solution
Note: The function f is not differentiable at the point a, then it must satisfies any of the following conditions.
(i) The function f is discontinuous at the point a.
(ii) The function f has a corner point at the point a.
(iii) The function f has a vertical tangent at the point a.
From the given graph, it is clearly observed that
Thus, f is not differentiable at
From the graph of f, it is observed that f has a corner point at
The graph of f has a vertical tangent at the point
Thus, the numbers at which the function f is not differentiable are
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