Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 16 - Section 16.2 - Derivatives of Trigonometric Functions and Applications - Exercises - Page 1169: 5

Answer

$h^{\prime}(x)=-2 \csc x \cot x-\sec x \tan x + 3 $

Work Step by Step

We have: $h(x)=2 \csc x-\sec x+3x$ We need to differentiate both sides with respect to $x$. $h^{\prime}(x)=2 (-\csc x \cot x)-\sec x \tan x + 3 $ Therefore, $h^{\prime}(x)=-2 \csc x \cot x-\sec x \tan x + 3 $
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