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Q. 12

Expert-verified

Found in: Page 417

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
$u (x) = \frac{1}{x}$

The differential du in terms of the differential dx is $d u = - \frac{1}{x^{2}} d x$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

For given function u(x) we have to write the differential du in terms of the differential dx.

$u (x) = \frac{1}{x}$

Step 2. Now finding the differential du in terms of the differential dx.

$u (x) = \frac{1}{x} u (x) = x^{- 1} \frac{d u}{d x} = - 1 x^{- 2} \frac{d u}{d x} = - \frac{1}{x^{2}} d u = - \frac{1}{x^{2}} d x$

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For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
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Step by Step Solution

Step 1. Given Information

Step 2. Now finding the differential du in terms of the differential dx.

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For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
$u (x) = \frac{1}{x}$