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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

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

Chapter 2.8, Problem 8E, Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use , example  1

FIGURE 1

Chapter 2.8, Problem 8E, Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use , example  2

FIGURE 2

Chapter 2.8, Problem 8E, Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use , example  3

Chapter 2.8, Problem 8E, Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use , example  4

To determine

To sketch: The graph of f below the graph of f.

Explanation

From the point A to the left, the slope of the graph f is strictly negative which implies that the derivative graph f must have a functional value in negative.

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 (0,0). Therefore, the graph of f has a discontinuity at x=0

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