Answer
$\frac{4}{5}.$
Work Step by Step
Since $ y=\tan^{-1}x $, then
$$ y'= \frac{1}{1+x^2}.$$
Now, we have
$$ y'(1/2)= \frac{1}{1+(1/2)^2}=\frac{1}{(5/4)}=\frac{4}{5}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 374: 30
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
