Chapter 10.1, Problem 20E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

For each function in Problems 15-20

(a) find

(b) find the critical values.

(c) find the critical points.

(d) find intervals of x-values where the function is increasing and where it is decreasing.

(c) classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing calculator.

**(a)**

To determine

**To calculate:** The value

Explanation

**Given Information:**

The provided function is

**Formula Used:**

In order to differentiate a function

The differentiation must be initiated on both sides with values corresponding to the power rule, that is:

As per the power rule,

**Calculation:**

Consider the provided function

Take out the first derivative of the equation *x*:

**(b)**

To determine

**To calculate:** The critical values of the function

**(c)**

To determine

**To calculate:** The critical points of the function

**(d)**

To determine

**To calculate:** The intervals of *x*-values where the function

**(e)**

To determine

**To calculate:** The relative maxima, relative minima, or horizontal points of inflection by observing the graph

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