Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter
f(x, y) = x3 + y3 − 12x2 + 18y2 + 48x + 108y + 162
Relative maximum of f(x, y) = at (x, y) =.
Relative minimum of f(x, y) = at (x, y) =.
saddle point of f(x, y) = at (x, y) =.
List the critical point for which the Second-Partials Test fails. (x,y)=