Chapter 10.1, Problem 37E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 37-42, use the derivative to locate critical points and determine a viewing window that shows all features of the graph. Use a graphing calculator to sketch a complete graph.

To determine

**To calculate:** The location of critical points and determines a viewing window that shows all features of the graph

Explanation

**Given Information:**

The provided function is

**Formula Used:**

To obtain the relative maxima and minima of a function,

1. Find the first derivative of the function.

2. Set the derivative equal to

3. Evaluate

(a) If

(b) If

**Calculation:**

Consider the provided function

Use the simple power rule to differentiate,

Equate the above derivative to 0,

Evaluate the values of *x* from the equation:

Hence, the value(s) of *x* are

Evaluate the values of the original functions with the critical values:

Substitute 100 for *x* in the function

Hence,

Substitute 50 for *x* in the function

Hence,

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