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

Chapter 6 - Analytic Trigonometry - Section 6.1 The Inverse Sine, Cosine, and Tangent Functions - 6.1 Assess Your Understanding - Page 476: 84

Answer

$ (2x+1)^{-1/2}(x^2+3)^{-3/2}(-x^2-x+3)$

Work Step by Step

$(2x+1)^{-1/2}(x^2+3)^{-1/2}-(x^2+3)^{-3/2}x(2x+1)^{1/2}\\ =(2x+1)^{-1/2}(x^2+3)^{-3/2}(x^2+3-2x^2-x) \\=(2x+1)^{-1/2}(x^2+3)^{-3/2}(-x^2-x+3)$
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