To find: weather the given function has a corner, cusp, vertical tangent and discontinuity.
Answer to Problem 16E
The function has cusp.
Explanation of Solution
Given information:
The function is
Concept used:
If a function is continuous then it can have cusp, corner or vertical tangent otherwise it will be discontinuous.
Calculation:
The function is
The above function can be written in the form of
Find the right hand derivative.
Find the left hand derivative.
The problem does not exist.
Conclusion: So, the function has a cusp.
Chapter 2 Solutions
CALCULUS-W/XL 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