Hi guys, can you help me to find the saddle point? Find all locations and values

Question

Hi guys,

can you help me to find the saddle point?

Find all locations and values of the local maxima and minima and the location of the saddle points of the given function. f(x,y) = 6x2 - 2x3 + 3y2 + 6xy Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at . (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) There are no local maxima. Find the value(s) of the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The values of the local maxima are . (Simplify your answers. Use a comma to separate answers as needed.) There are no local maxima. Find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local minima located at (0,0) . (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) There are no local minima. Find the value(s) 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 0 . (Simplify your answers. Use a comma to separate answers as needed. B. There are no local minima. Find the saddle point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are saddle points located at . (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) There are no saddle points.

Explanation / Answer

Saddle point at f(x,y)=(1,-1)

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