Transcribed Image Text: Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = x° +y° + 3x? 6y² 2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A.
A local maximum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are.
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local maxima.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. A local minimum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local minimum value(s) is/are.
(Type an exact answer. Use a comma to separate answers as needed.)
O B. There are no local minima.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. A saddle point occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There are no saddle points.
