Answer
$\frac{2x}{1-x^2}$
Work Step by Step
Step 1. Let $u=tan^{-1}x$, we have $tan(u)=x$
Step 2. Use the Double-Angle Formula, $tan(2tan^{-1}x)=tan(2u)=\frac{2tan(u)}{1-tan^2u}
=\frac{2x}{1-x^2}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 7 - Review - Exercises - Page 579: 67
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