To find: the slope of tangent line
Answer to Problem 55E
The slope of the tangent line at
Explanation of Solution
Given:
Calculation:
Given curve is
(a) If the tangent is horizontal, then its
Here
At these points on the curve, slope of the tangent is zero (i.e., tangent is horizontal).
(b) If the tangent is vertical, then its slope is
At these points on the curve, the tangent line is vertical.
Conclusion:
Therefore, the slope of the tangent line at
Chapter H.1 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