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Consider the following functions and express the

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

Solution for problem 34E 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 34E

?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?? ?dx?. f? ?)= (4 +? ?)/(4 ? ?x?)

Step-by-Step Solution:
Step 1 of 3

Solution 34E 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 4+x Given the function f(x) = 4x By Quotient rule we get Then f (x) = (4x)(1)(4+x)(=) 4x+4+x = 8 (4x)2 (4x) (4x) Therefore dy = f ()dx dy = 8 2 dx (4x)

Step 2 of 3

Chapter 4.5, Problem 34E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Consider the following functions and express the