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Get Full Access to A First Course In Differential Equations With Modeling Applications - 10 Edition - Chapter 4.8 - Problem 25e
Get Full Access to A First Course In Differential Equations With Modeling Applications - 10 Edition - Chapter 4.8 - Problem 25e

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# In as in Example 5 to find a solution of the | Ch 4.8 - 25E

ISBN: 9781111827052 44

## Solution for problem 25E Chapter 4.8

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 25E

In as in Example 5 to find a solution of the given initial-value problem. (reference example 5)

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4.2 What Derivatives T ells Us I. What first derivatives tells us Increasing/Decreasing Test (I/D Test)  If f ‘ > 0 on interval  f is increasing on the interval  If f ‘ < 0 on interval  f is decreasing on the interval  F is decreasing on (-5,-2) (0,5)  F ‘ < 0  F is increasing on (-2,0)  F ‘ > 0  Corner points f ‘ DNE o F ‘ (-2) DNE, F ‘ (0) DNE  F is increasing on (-4,-3) (-1,1)  f ‘ < 0  F is decreasing on (-3,-1) (2,2)  f ‘ > 0  F ‘ (-3) = f ‘ (-1) = f ‘ (1) = 0 EXAMPLE 1: Sketching a function f(x) continuous on its domain (- ,) satisfying the following conditions. (1) F ‘ > 0 on (- , 0), (4,6) and (6, )  [ f increasing on (- , 0), (4,6) and (6, ) ] (2) f ‘

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