Chapter 2.7, Problem 19E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

For the function *f* graphed in Exercise 18:

(a) Estimate the value of *f′*(50).

(b) Is *f'*(10) > *f'*(30)?

(c) Is

(a)

To determine

**To estimate:** The value of

Explanation

**Formula used:**

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

**Calculation:**

Obtain the value of

The function *f* with respect to *t* when

Consider the graph, the slope of the tangent line to the curve at

Note that, the rate of change of function *f* at

The average rate of change of function *f* at *f* at

(b)

To determine

**To check:** The statement

(c)

To determine

**To check:** The statement

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