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 point A to the left, the slope of the graph f is strictly negative which implies that the derivative graph
From the given graph, it is observed that the graph has high sharpness at origin. So, there is no unique tangent line at origin. Thus, the given graph is not differentiable at
From the point A to right, the slope of the graph f is strictly positive which implies that the derivative graph must have a functional value in positive.
Graph:
Use the above information and obtain the graph of
Thus,
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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