Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Preliminary Questions - Page 139: 1

Answer

(a) $-, +$ (b) $+$ (c) $-$

Work Step by Step

a) Since the derivative of $\sin x $ is $\cos x $ and the derivative of $\cos x $ is $-\sin x $ then we have to choose the following signs: $-, +$. b) Since the derivative of $\sec x $ is $\sec x\tan x $ then we have to choose the following sign: $+$. c) Since the derivative of $\cot x $ is $-\csc^2 x $ then we have to choose the following sign: $-$.
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