BuyFind

Single Variable Calculus: Concepts...

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

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.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2, Problem 34RE

Thus, f is the required graph.

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