Answer
$r' = sec^{2}\theta - cosec^{2}\theta$
Work Step by Step
$r = sec\theta\ cosec\theta$
$r' = sec\theta\ tan\theta\ cosec\theta - sec\theta\ cosec\theta\ cot\theta$
$r' = sec^{2}\theta - cosec^{2}\theta$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 3 - Section 3.5 - Derivatives of Trigonometric Functions - Exercises - Page 151: 25
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