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: 15

Answer

$${\frac {\partial w}{\partial u}}={\frac {\partial w}{\partial x}}*{\frac {\partial x}{\partial u}}+{\frac {\partial w}{\partial y}}*{\frac {\partial y}{\partial u}}+{\frac {\partial w}{\partial z}}*{\frac {\partial z}{\partial u}}$$ $${\frac {\partial w}{\partial v}}={\frac {\partial w}{\partial x}}*{\frac {\partial x}{\partial v}}+{\frac {\partial w}{\partial y}}*{\frac {\partial y}{\partial v}}+{\frac {\partial w}{\partial z}}*{\frac {\partial z}{\partial v}}$$

Work Step by Step

Drawn branch in the file
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