Explanation Given information: For a function f ( x ) , we know that f ( 20 ) = 68 and f ' ( 20 ) = − 3. Calculation: Derivative represents rate of change. Positive derivative represents increase of quantity and negative derivative represents decrease of quantity. Rate of change at x = 20 is − 3. This means that f ( x ) decreases by 3 as x increases by 1. Thus, the estimates are: f ( 21 ) = f ( 20 ) − 3 ⋅ (

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 2.3, Problem 30P

To determine

Estimate f(21), f(19) and f(25).

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Chapter 2.3, Problem 29P

Chapter 2.3, Problem 31P

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Chapter 2 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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Estimate f ( 21 ) , f ( 19 ) and f ( 25 ) .

Solution Summary: The author explains that f (x) decreases by 3 as x increases by 1.

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Estimate f(21), f(19) and f(25).

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Chapter 2 Solutions