Does reflection in $y=x$, preserve maxima/minima for $z=f(x,y)$?
Solution 1:
You can. Swapping $(x,y)$ accompanies swapping $( a,b)$ point.i.e, the new point has new $(x,z)$ or $ (y,z) $ coordinates.
Does reflection in $y=x$, preserve maxima/minima for $z=f(x,y)$?
Solution 1:
You can. Swapping $(x,y)$ accompanies swapping $( a,b)$ point.i.e, the new point has new $(x,z)$ or $ (y,z) $ coordinates.