Find all local extrema for the function

f(x,y)=6x24xy5y264x56y+8

Select the correct choice below and fill in any answer boxes within your choice.

A.

There are local maxima located at ___

(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)

B.

There are no local maxima.

Select the correct choice below and fill in any answer boxes within your choice.

A.

There are local minima located at__

B.

There are no local maxima.

Select the correct choice below and fill in any answer boxes within your choice.

A.

There are saddle points located at__-

(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)

B.

There are no saddle points.