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: 8



Work Step by Step

$f(a+\Delta x)-f(a)\approx f'(a)\Delta x$ $\implies \sin (\frac{\pi}{2}+0.1)-\sin \frac{\pi}{2}=\frac{d}{dx} (\sin x) |_{x=\frac{\pi}{2}}\times0.1$ $=\cos \frac{\pi}{2}\times0.1= 0\times0.1=0$
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.