Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 4 - Applications of the Derivative - 4.1 Linear Approximation and Applications - Exercises - Page 172: 2



Work Step by Step

Given/Known: $ f(x)=x^{4}$, $ a=3$, $\Delta x=0.02$ and $ f'(x)=4x^{3}$ Recall: $ f(a+\Delta x)-f(a)\approx f'(a)\Delta x $ $\implies f(3+0.02)-f(3)\approx f'(3)\Delta x=4(3)^{3}\times0.02=2.16$
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.