Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.3 Partial Derivatives - Exercises - Page 781: 21


$$ z_x= (\cos x)(\sin y), \quad z_x= (\sin x)(\cos y). $$

Work Step by Step

Recall that $(\sin x)'=\cos x$. Since $ z= (\sin x)(\sin y) $, then we have $$ z_x= (\cos x)(\sin y), \quad z_x= (\sin x)(\cos y). $$
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.