Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises: 10


$e^{mx}\left( m\cos {n}x-n\sin nx\right) $

Work Step by Step

$\dfrac {d}{dx}\left( e^{mx}\cos nx\right) =\left( \dfrac {d}{dx}\left( e^{mx}\right) \right) \times \cos nx+\left( \dfrac {d}{dx}\left( \cos nx\right) \right) \times e^{mx}=m\cos {nx}e^{mx}-n\sin nxe^{mx}=e^{mx}\left( m\cos {n}x-n\sin nx\right) $
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