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.)
$f(x, y) = 9x^2 + 4y^2$
critical point
$(x, y) = (0, 0)$
classification
relative minimum
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value DNE