Chapter 10, Problem 25RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 25 and 26, a function and its graph are given.

**(a) Use the graph to determine (estimate) x-values where**

** > 0, where**

**< 0, and where**

= 0.

**(b) Use the graph to determine x-values where**

**> 0, where**

** < 0, and where**

*=* 0.

(c) Check your conclusions to (a) by finding

(d) Check your conclusions to (b) by finding *f"(x)* and graphing it with a graphing calculator.

**(a)**

To determine

The values of *x* for which

Explanation

**Given Information:**

The provided function is

**Explanation:**

Consider the provided function

Use the simple power rule to differentiate the provided function,

The values of

The value of *x* increases. That means the graph of the provided function has increasing nature.

Similarly, the value of *x* increases

**(b)**

To determine

The values of *x* for which

**(c)**

To determine

Whether the conclusions made in part (a) are correct by graphing the derivative of the function

**(d)**

To determine

Whether the conclusions made in part (b) are correct by graphing the second derivative of the function

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