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Given a function f differentiable on its domain, write and

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 5E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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 d y.

Step-by-Step Solution:
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

Chapter 4.5, Problem 5E is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Given a function f differentiable on its domain, write and