Answer
$9sec(x)tan(x)-12csc^{2}(x)$
Work Step by Step
The derivative of a sum is the sum of each of the derivatives. Therefore, the derivative simplifies to $9(sec(x))'+12(cot(x))'$, or $9sec(x)tan(x)-12csc^{2}(x)$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises - Page 140: 8
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