Chapter 2, Problem 42RE

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.

To determine

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

Explanation

From the given graph, it is observed that the graph of *f* contains a 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 *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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