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: 22

Answer

$\frac{∂_w}{∂_p}= \frac{∂_w}{∂_x}\times\frac{∂_x}{∂_p}+\frac{∂_w}{∂_y}\times\frac{∂_y}{∂_p}+\frac{∂_w}{∂_z}\times\frac{∂_z}{∂_p} +\frac{∂_w}{∂_v}\times\frac{∂_v}{∂_p}$.

Work Step by Step

Solution diagram:
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