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Differentials Consider the following functions | Ch 4.5 - 30E

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

Solution for problem 30E 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 30E

Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form \(d y=f^{\prime}(x) d x\).

\(\sin ^{2} x\)

Step-by-Step Solution:
Step 1 of 3

Solution 30E 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) = sin x Then f x) = 2sin x cos x = sin2x Therefore dy = f (x)dx dy = sin2x dx

Step 2 of 3

Chapter 4.5, Problem 30E 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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Differentials Consider the following functions | Ch 4.5 - 30E