MATLAB: Plotting Multivariable function poltting

3d plotsgraphMATLAB and Simulink Student SuiteMu-Analysis and Synthesis ToolboxmultivariableplottingSimulink 3D Animation

How can plot f(x,y)= xy/(x^2+y^2) if (x,y) ≠ (0,0) and 0 if (x,y)=(0,0)

[X,Y] = meshgrid(1:.2:10);                                
Z =(X*Y) / (X^2 + Y^2);
surf(X,Y,Z)

You should avoid including 0 within the grid boundary since it creates a singularity.


x = linspace(0,3) ;
y = linspace(0,3) ;
[X,Y] = meshgrid(x,y) ;
Z = 1-X.^2 ;
surf(X,Y,Z)
shading interp

You can replace the unwanted values with nan.

[x,y] = meshgrid (-2:2:2);
z = x.*y;
mask = x + y  <= 1;
z(~mask) = nan;
surf(x,y,z)