Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.4 Derivatives of Trigonometric Functions - 2.4 Exercises - Page 150: 4

Answer

$=2sec(x)tan(x)+csc(x)cot(x)$

Work Step by Step

$=\frac{d}{dx}(2sec(x)-csc(x))=\frac{d}{dx}(2sec(x))-\frac{d}{dx}(csc(x))=2\frac{d}{dx}(sec(x))-\frac{d}{dx}(csc(x))=2sec(x)tan(x)+csc(x)cot(x)$
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