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Find and sketch the level curves $f(x, y)=c$ on the same set of coordinate axes for the given values of $c .$ We refer to these level curves as a contour map.$$f(x, y)=x^{2}+y^{2}, \quad c=0,1,4,9,16,25$$

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Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

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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.

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00:27

Find and sketch the level …

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00:25

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Sketch the contour map of …

00:37

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Describe the level curves …

01:37

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