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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.7, Problem 16E

To determine

**To Sketch:** The graph of

Expert Solution

The formula for

The given function is

From the graph of

Thus, the derivative of the graph is always positive.

Draw the tangent to the graph at

Recall the fact that, the slope of the function at the point

Therefore,

Thus, the graph of the function

From the point *A* to left, the slope decreases rapidly. Thus, the graph of the function

From the point *A* to right, the slope is increasing slowly. Thus, the graph of the function

**Graph:**

Use the online graphing calculator to draw the graph of

**Observation:**

From Figure 1, it is observed that the graph of the derivative function seems to be

Thus, the derivative formula is,