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: 19

Answer

$${\frac {\partial z}{\partial t}}={\frac {\partial z}{\partial x}}*{\frac {\partial x}{\partial t}}+{\frac {\partial z}{\partial y}}*{\frac {\partial y}{\partial t}}$$ $${\frac {\partial z}{\partial s}}={\frac {\partial z}{\partial x}}*{\frac {\partial x}{\partial s}}+{\frac {\partial z}{\partial y}}*{\frac {\partial y}{\partial s}}$$

Work Step by Step

Branches:
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