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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.7, Problem 4E

To determine

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

Expert Solution

From the given graph, it is observed that the graph of *f* contains the horizontal tangents at the three points. Let the three points be *A*, *B* and *C*.

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*, *B* and *C*.

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

From the points between *A* and *B*, the slope of the graph *f* is strictly positive which implies that the derivative graph

And, the slope of the graph *f* between the points *B* and *C* is strictly negative, which implies that the derivative graph

From point *C* to right, the slope of the graph *f* is strictly positive, which implies that the derivative graph must have a positive functional value.

Use the above information and obtain the graph of

From Figure1, it is observed that the function