Chapter 2.8, Problem 5E

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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**

**FIGURE 1**

**FIGURE 2**

To determine

**To sketch:** The graph of *f.*

Explanation

From the given graph, it is observed that the graph of *f* contains the horizontal tangents 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 *A*.

From the point *A* to left, the slope of the graph *f* is strictly positive which implies that the derivative graph

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