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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
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

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FIGURE 1

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FIGURE 2

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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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