Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 87

Answer

$ \frac{1-3x^2}{2\sqrt x(1+x^2)^2}$

Work Step by Step

$\frac{\frac{1+x^2}{2\sqrt x}-2x\sqrt x}{(1+x^2)^2}=\frac{1+x^2-4x^2}{2\sqrt x(1+x^2)^2}=\frac{1-3x^2}{2\sqrt x(1+x^2)^2}$
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