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: 17

Answer

$3 \cos ( 3x-5)$

Work Step by Step

We have: $f(x)=\sin ( 3x-5)$ We need to differentiate both sides with respect to $x$. $f^{\prime}(x)= \cos ( 3x-5) \dfrac{d}{dx} ( 3x-5)\\=\cos ( 3x-5) \times ( 3)$ Therefore, $f^{\prime}(x)= 3 \cos ( 3x-5)$
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