To find: Weather the given function has a corner, cusp, vertical tangent and discontinuity.
Answer to Problem 15E
The function has a corner.
The function has corner.
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.
Since the left hand derivative and right hand derivative are definite but not equal.
Conclusion: So, the function has a corner.
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 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