Find all local extrema for the function $\backslash ($ f$($x$,$ y$)=$x$^\{3\}-9$ x y$+$y$^\{3\}\backslash ).$

A$.($Type an ordered pair. Use a comma to separate answers as needed.$)$

B$.$ There are no local minima.

Find the values of the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The values of the local minima are $-27.$

$($Use a comma to separate answers as needed.$)$

B$.$ There are no local minima.

Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

There are saddle points located at

A$.($Type an ordered pair. Use a comma to separate answers as needed.$)$

B$.$ There are no saddle points.