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: 2



Work Step by Step

Convert the polynomial into a power of $x$, giving you $5x^{-2}$, Finally, split the derivative into two separate, single derivatives. The polynomial derivative uses power rule ($[x^{n}]'=nx^{n-1}$) while the derivative of $sinx$ is $cosx$. Therefore, the derivative is $-5(2){x^{-2-1}}+cosx=-\frac{10}{x^{3}}+cosx.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.