f(x, y) = e^{-8x-x^2+8y-y^2}. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx =, fy =, fxx =, fxy =, fyy =. The critical point with the smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined). The critical point with the next smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined). The critical point with the next smallest x-coordinate is (, ) Classification: (local minimum, local maximum, saddle point, cannot be determined)