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Sketch a typical level surface for the function.$$f(x, y, z)=z$$

z-axis

01:30

Abigail M.

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.

04:14

01:40

Sketch a typical level sur…

02:23

01:33

01:48

01:56

problem. We're asked the sketches typical level surface but getting function and it will replace ah drunken function notation here with the constant C we have live occurs of the form equals. Do you think we'll see I? What we have here is a clean that is parallel to both the X and the Y axis and it crosses the Z axis at the value See game. This is also perpendicular to to the the exit. So if I pick, um, let's say I choose a value for C being go to five, then we should have a plane cutting the the access at the value five. So this is what the graph would look like.

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