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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 5e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 5e

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# Given a function f differentiable on its domain, write and ISBN: 9780321570567 2

## Solution for problem 5E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

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Problem 5E

Given a function ?f? differentiable on its domain, write and explain the relationship between the differentials d ? x? and ?dy.

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Step 1 of 3

SOLUTION STEP 1 Given f is differentiable on its domain.Let f be differentiable on an interval containing x .Thus f(x) exists on its domain. The relationship between the differentials dx and dyis given by the corresponding change in f which can be written as dy = f(x)dx Where dx and dy are called the differential differences ,ie a very very small change in x and y respectively.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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