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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.7, Problem 11E

To determine

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

Expert Solution

From the given graph, it is observed that the graph of *f* contains the vertical tangent at one point. Let this point be *O.*

At the point *O*, the derivative of *f* is infinity and the derivative curve has a vertical asymptote at that point.

From the given graph, it is observed that *f* has a positive slope.

This implies that, the derivative will be positive everywhere.

From the point *A* to left, the slope of the graph is decreasing gradually which implies that, the derivative graph must be decreasing towards zero.

From the point *B* towards right, the slope of the graph is decreasing gradually which implies that, the derivative graph must be decreasing towards zero.

**Graph:**

Use the above information and trace the graph of

Thus,