Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 14 - Partial Derivatives - 14.3 Exercises - Page 936: 16

Answer

$$\frac{\partial{f}}{\partial{x}}=4(xy)^{3}+16xy,\quad\frac{\partial{f}}{\partial{y}}=3x^{4}y^{2}+8x^2$$

Work Step by Step

$$f(x,y)=x^{4}y^{3}+8x^{2}y$$ $$\frac{\partial{f}}{\partial{x}}=4(xy)^{3}+16xy,\quad\frac{\partial{f}}{\partial{y}}=3x^{4}y^{2}+8x^2$$
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