Consider the function f(x,y)=e^4x−x^2−4y−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)

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