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 2.7, Problem 6E
To determine

To Sketch: The graph 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 the 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 the point A to right, the slope of the graph f is negative which implies that the derivative graph f must have a functional value in negative.

Graph:

Use the above information and obtain the graph of f(x) as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.7, Problem 6E

From Figure 1, the required graph of f is obtained.

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