Chapter 10, Problem 17RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

Given
*y* when (a)

(b)

**(a)**

To determine

**To calculate:** The absolute maximum and minimum for R for the expression

Explanation

**Given Information:**

The provided equation is

**Formula Used:**

To obtain the critical points of a function,

Step 1. Find the first derivative of the function.

Step 2. Set the derivative equal to

For the function *f* is present, then the value *f*

If *x* in the domain of *f*, absolute maximum is the highest point on the graph.

For the function *f* is present, then the value *f*

If *x* in the domain of *f*, absolute minimum is the lowest point on the graph.

**Calculation:**

Consider the provided equation

The critical values are the only values at which the graph can have turning points, the derivative cannot change sign anywhere except at the critical value.

Hence, there will no change in the values of critical values as in the derivative graph.

Take out the first derivative of the equation by the power rule,

Put the value of

Evaluate the values of *x* from the equation:

Hence, the values of *x* are

**(b)**

To determine

**To calculate:** The absolute maximum and minimum for the expression

Sect-10.1 P-1CPSect-10.1 P-2CPSect-10.1 P-3CPSect-10.1 P-4CPSect-10.1 P-1ESect-10.1 P-2ESect-10.1 P-3ESect-10.1 P-4ESect-10.1 P-5ESect-10.1 P-6E

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