Chapter 10.1, Problem 14E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

For each function and graph in Problems 11-14

(a) estimate the coordinates of the relative maxima, relative minima, or horizontal points of inflection by observing the graph.

(b) use *y' = f'(x)* to find the critical values.

(c) find the critical points.

(d) Do the results in part (c) confirm your estimates in part (a)?

**(a)**

To determine

The relative maxima, relative minima, or horizontal points of inflection by observing the graph

Explanation

**Given Information:**

The provided function is,

**Explanation:**

Consider the provided function

The graph of the provided function is shown below,

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

From the above graph, there is no change in the sign of critical values as the graph only increases

**(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

If the results in part (c) confirm the estimates in part (a).

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