Find all points where the given function has any local extrema. Give the values of any local extrema. identify any saddle points.

Find the partial derivative

fx.

Find the partial derivative

fy.

fy=negative 9 x minus 12 y plus 27

Find the second-order partial derivative

fxx.

Find the second-order partial derivative

fyy.

Find the second-order partial derivative

fxy.

Find all points where the given function has any local maxima. Give the values of any local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A.

There are local maxima located at the point(s)

enter your response here.

The local maximum value(s) is/are

enter your response here.

(Type an exact answer. Use a comma to separate answers as needed.)

B.

There are no local maxima.

Find all points where the given function has any local minima. Give the values of any local minima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A.

There are local minima located at the point(s)

enter your response here.

The local minimum value(s) is/are

enter your response here.

(Type an exact answer. Use a comma to separate answers as needed.)

B.

There are no local minima.