Concept explainers
To Sketch: The graph of
Explanation of Solution
From the given graph, it is observed that the graph of f contains the vertical tangent at one point. Let this point be O.
At the point O, the derivative of f is infinity and the derivative curve has a vertical asymptote at that point.
From the given graph, it is observed that f has a positive slope.
This implies that, the derivative will be positive everywhere.
From the point A to left, the slope of the graph is decreasing gradually which implies that, the derivative graph must be decreasing towards zero.
From the point B towards right, the slope of the graph is decreasing gradually which implies that, the derivative graph must be decreasing towards zero.
Graph:
Use the above information and trace the graph of
Thus,
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