let's assume we are working with the function:
z=e-x2-y2
Plotting this function shows that there is a (global) maximum at (x, y) = (0, 0).
The plot clearly shows some sort of symmetry to the coordinate origin. Is there a correct term to describe this symmetry and more importantly, is there a way to check (analytically) whether a function of two variables has any symmetries?
Thankful for any input.