To find the local maximum and local minimum of the function

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.3, Problem 40E

a.

To determine

To find the local maximum and local minimum of the function

Expert Solution

Explanation of Solution

Given information : the function is U(x)=xxx2 .

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression xxx2 which is required to graph.

Step 4: Press GRAPH button to graph the function.

Step 5: Using TRACE feature on the calculator

The graph is obtained as:

From the above graph, it can be observed that the local maximum 0.325 when x0.75 , there is no local minimum

b.

To determine

Expert Solution

Answer to Problem 40E

The function f is decreasing on (0.75,1) and increasing on (0,0.075) .

Explanation of Solution

Given information :

The function is U(x)=xxx2 .

The graph of the function is obtained as:

Using TRACE feature on the calculator,

From the above graph, it can be observed that the function f is decreasing on (0.75,1) and increasing on (0,0.075)

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