f(x,y) = (x^2 + y^2)e^(x^2-y^2) = z
I have found that the part ∂z/∂y = 0 when y = 0 or +/- sqrt(1 - x^2)
and that ∂z/∂x = 0 when x=0 or x^2 + y^2 + 1 = 0 which is not real
so now how do I classify them? i.e. what is min, what is max, what is saddle?
f(x,y) = (x^2 + y^2)e^(x^2-y^2) = z
I have found that the part ∂z/∂y = 0 when y = 0 or +/- sqrt(1 - x^2)
and that ∂z/∂x = 0 when x=0 or x^2 + y^2 + 1 = 0 which is not real
so now how do I classify them? i.e. what is min, what is max, what is saddle?