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Find and sketch the domain for each function.$$f(x, y)=\frac{(x-1)(y+2)}{(y-x)\left(y-x^{3}\right)}$$

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$$\text { The domain of } f \text { is the set } D=\left\{(x, y) \in \mathbb{R}^{2}: y \neq x\right\} \cap\left\{(x, y) \in \mathbb{R}^{2}: y \neq x^{3}\right\}$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

Missouri State University

Campbell University

Harvey Mudd College

Baylor University

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

02:29

Find and sketch the domain…

01:06

02:04

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