Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.5 Derivatives of Trigonometric Functions - Exercises Set 2.5 - Page 151: 1

Answer

$=-4sinx+2cosx$

Work Step by Step

Use the derivative of $sinx (cosx)$ and the derivative of $cosx (-sinx)$ to differentiate each term. The $4$ and $2$ before the functions are constants, so they are just multiplied to the derivative. Therefore, the derivative is $=-4sinx+2cosx$.
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