Consider the function f(x,y)=e^{10x-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: ANSWER (one of these: local minimum, local maximum, saddle point, cannot be determined)

The critical point with the next smallest x-coordinate is ( , ) Classification: ANSWER (one of these: local minimum, local maximum, saddle point, cannot be determined)

The critical point with the next smallest x-coordinate is ( , ) Classification: ANSWER (one of these: local minimum, local maximum, saddle point, cannot be determined)