Let $$f(x,y) = 5x^{3}+e^{-y^{2}}.$$ Find critical points and classify them as local maxima, local minima, saddle points, or none of these.

critical points:
(give your points as a comma separated list of (x,y) coordinates.)

classifications:
(give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)