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Define $f(0,0)$ in a way that extends $f$ to be continuous at the origin.$$f(x, y)=\frac{3 x^{2} y}{x^{2}+y^{2}}$$

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Calculus 3

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

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

05:45

Define $f(0,0)$ in a way t…

01:20

02:48

For the function$$f(x,…

04:40

Continuous extension Defin…

01:12

How can the function$$…

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