Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.4 - The Chain Rule - Exercises 14.4 - Page 817: 37

Answer

dz/du=10/5=2 dx/dv=5/5=1

Work Step by Step

dz/du=dz/dx*dx/du dz/dz=5/1+x^{2} dx/du=ex^{u}+0 dz/du=10/5=2 dz/dv=dz/dx*dx/dv dz/dx=5/1+x^{2} dx/dv=1/v dz/dv=5/1+2^{2}*1=1
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.