Find the critical points of the function. Then use the Second Derivative Test to classify the nature of these points, if possible. (If an answer does not exist, enter DNE.) f(x, у) %3D 3x3 +у? - 9х2 -...

Extracted text: Find the critical points of the function. Then use the Second Derivative Test to classify the nature of these points, if possible. (If an answer does not exist, enter DNE.) f(x, у) %3D 3x3 +у? - 9х2 - бу + 8x 2 smaller x-value critical point (х, у) classification ---Select--- larger x-value critical point (х, у) classification ---Select--- Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value relative maximum value