## Calculus 8th Edition

Published by Cengage

# Chapter 14 - Partial Derivatives - 14.3 Partial Derivatives - 14.3 Exercises: 14

#### Answer

$$f_x = 4x^3 + 3y^3$$ $$f_y = 15xy^2$$

#### Work Step by Step

To find $f_x$, we treat $y$ as a constant and differentiate with respect to $x$. Thus $$f_x = 4x^3 + 3y^3.$$ Similarly, to find $f_y$, we treat $x$ s a constant and differentiate with respect to $y$. Thus $$f_y = 15xy^2.$$

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