Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises: 40

Answer

$f'(\theta)=\cos{\theta}-(\theta+1)\sin{\theta}.$

Work Step by Step

Product Rule $f'(\theta)=((u(\theta)(v(\theta))’=u’(\theta)v(\theta)+u(\theta)v’(\theta))$. $u(\theta)=(\theta+1) ;u’(\theta)=1 $ $v(\theta)=\cos(\theta) ;v’(\theta)=-\sin(\theta) $ $f'(\theta)=(1)(\cos(\theta))+(-\sin(\theta))(\theta+1)$ $=\cos{\theta}-(\theta+1)\sin{\theta}$.
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.