Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.9 - Linearization and Differentials - Exercises 3.9 - Page 175: 33

Answer

a.-3^-1 b.-0.4 c.The approximation error is = 0.0667

Work Step by Step

x.=0.5,dx=0.1 x.+dx=0.5+0.1 =0.6 a.use in given formula =f(x.+dx)-f(x.) =0.6^-1 - 0.5^-1 =-3^-1 b.df/dx=? df/dx=-x^-2 =-(0.5)^-2*dx =-4*0.1 =-0.4 c. the approximation error=? =I-3^-1 -(-0.4)I =I-3^-1 + 0.4I =0.06666666667 =0.0667
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions