Concept explainers
Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it.
Example 1
FIGURE 1
FIGURE 2
To sketch: The graph of
Explanation of Solution
From the graph, it is observed that the graph has a corner point at three points.
Let the three points be A, B and C. The derivative graph
The graph from point A to B has negative slope which implies that the derivative graph must have negative value in this section. Since the function is linear in this part,
the derivative graph will be horizontal line.
The graph from point B to C has positive slope which implies that the derivative graph must have positive value in this section. Since the function is linear in this part,
the derivative graph will be horizontal line.
The graph from point C to D has negative slope which implies that the derivative graph must have a negative functional value. Since the function is linear in this part,
the derivative graph will be horizontal line.
The graph from point D to E has positive slope which implies that the derivative graph must have positive functional value. Since the function is linear in this part,
the derivative graph will be horizontal line.
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