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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2, Problem 11RCC

**(a)**

To determine

**To express:** The average rate of change of *y* with respect to *x* over the interval

Expert Solution

The average rate of change of *y* with respect to *x* is

**Result used:**

The average rate of change of *y* with respect to *x* is

**Calculation:**

The average rate of change of *y* with respect to *x* is

Where

The average rate of change of *y* with respect to *x* over the interval

Thus the average rate of change of *y* with respect to *x* is

**(b)**

To determine

**To express:** The instantaneous rate of change of *y* with respect to *x* at

Expert Solution

The instantaneous rate of change of *y* with respect to *x* at

**Result used:**

The instantaneous rate of change of the function

Now the instantaneous rate of change of the function

Thus the instantaneous rate of change of *y* with respect to *x* at