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: 16

Answer

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

Work Step by Step

Branch:
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