Find the critical point of the function. Then use the Second Derivative Test to classify the nature of this point, if possible

Question

Find the critical point of the function. Then use the Second Derivative Test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.)
f(x, y) = xy +8/x +8/y
critical point (x, y)=
classification
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value

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