Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.10 Derivatives of Inverse Trigonometric Functions - 3.10 Execises - Page 221: 3

Answer

Slope of Tangent Line: $\frac{1}{5}$

Work Step by Step

$f(x) = \tan^{-1}(x)$ $f'(x) = \frac{1}{1+x^2}$ $f'(-2)=\frac{1}{1+(-2)^2} = \frac{1}{5}$
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