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How to | Plot Functions of Two Variables

The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and contour plots.

Plot the function :

Wolfram Language code: Plot3D[Sin[x] Sin[y] ^ 2, {x, 0, Pi}, {y, 0, Pi}]
    

Plot several functions:

Wolfram Language code: Plot3D[{Sin[x] Sin[y] ^ 2, 2 - Sin[x] Sin[y] ^ 2}, {x, 0, Pi}, {y, 0, Pi}]
    

Use ParametricPlot3D to plot the surface defined by :

Wolfram Language code: ParametricPlot3D[{r Cos[t], r Sin[t], Log[r ^ (1 / 2)]}, {r, 0.1, 1}, {t, 0, 2Pi}]
    

Create a polar plot of a sphere of unit radius:

Wolfram Language code: SphericalPlot3D[1, {t, 0, Pi}, {p, 0, 2Pi}]
    

Use ContourPlot3D to plot a function implicitly defined by :

Wolfram Language code: ContourPlot3D[x ^ 2 + y ^ 2 - z ^ 2 == 0, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}]