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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 38e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 38e

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# Differentials Consider the following functions and express ISBN: 9780321570567 2

## Solution for problem 38E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

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Problem 38E

Differentials ?Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the?form dy = ? ? ? f(? )? x. ? ? f(? )= ln(1 ? x ? )

Step-by-Step Solution:
Step 1 of 3

Solution 38E STEP 1 Let f be the function differentiable on an interval containingx.The small change in x is denoted by the differential dx. The corresponding change in f is approximated by the differential dy = f(x)dx STEP 2 Given the function f(x) = ln(1x) Then f (x) = 1 = 1 1x x1 Therefore dy = f (x)dx dy = 1 dx x1

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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