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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.$$f(x, y)=4 x^{2}+y^{2}$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

Johns Hopkins University

Campbell University

Baylor University

University of Michigan - Ann Arbor

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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00:34

Display the values of the …

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00:43

give him a good function, were asked to sketch the surface on its level curve. I have done so using on online three D slaughter as well as this most only graphing calculator. And what we can't on the left is the natural. Graph the service and underwrite the level curves Know that our level curves are concentric whole bunch and at Z equals zero, Then the level curve is the point where they're at the origin.

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