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Display the values of the functions in two ways:(a) by sketching the surface $z=f(x, y)$ and (b) by drawing an assortment of level curves in the function's domain. Label each level curve with its function value.$$f(x, y)=x^{2}-y$$

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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02:01

Display the values of the …

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For the given function, we are going to sketch the surface and draw the level curves. I have used an unlined 3 graphing tool as well as there's most unlined graphing calculator. To accomplish this, and once we enter function on the left, we have a graph of the surface and on the right we have graph of the liver curves note i have these values for the negative, 101 and 4 are level curves.

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