# The graph of derivative of f below the graph of f.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2, Problem 34RE
To determine

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

Expert Solution

### Explanation of Solution

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 f will be zero at the point A.

From the point A to left, the slope of the graph f is strictly positive which implies that the derivative graph f must have a functional value in positive.

From point A to right, the slope of the graph f is strictly negative, which implies that the derivative graph must have a functional value in negative.

Graph:

Trace the graph of f and use the above information to draw the graph of its derivative directly beneath as shown below in Figure 1.

Thus, f is the required graph.

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