Function

f(x,y) = p

Domain

x and y are elements of the set of all Real numbers

Graphs

Derivative

With respect to x: 0
With respect to y: 0

Critical points are formed where the two derivatives equal 0. These critical points may be minimums, maximums, or saddle points. In the first graph, for x, 0 = 0 for all x values. For y, 0 = 0 for all y values. From the graph, it shows that all points in the xy plane form high and low points since it is a flat plane.

Integral

With respect to x: px
With respect to y: py

Interesting Features

This function is a plane that has a constant value for z for all x and y values. This plane is at the height of p, which can be used to raise or lower this plane. If p is 0, the xy plane is returned.