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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 given graph, it is observed that the graph of f contains the 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 f will be zero at the point A.

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

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