Concept explainers
To sketch: The graph of derivative of f below the graph of f.
Explanation of Solution
From the given graph, it is observed that the graph of f contains a horizontal tangent at one point. Let this point be A.
Note that, the value of the derivative will be zero at the point where the function has the horizontal tangent.
Thus, the graph of
From the point A to left, the slope of the graph f is strictly positive which implies that the derivative graph
From point A to right, the slope of the graph f is strictly negative, which implies that the derivative graph must have a functional value in negative.
Graph:
Trace the graph of f and use the above information to draw the graph of its derivative directly beneath as shown below in Figure 1.
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