the question is below, only the local min, max parts are incorrect.

LOCAL MINIMUM LOCAL MINIMUM incorrect correct correct SADDLE POINT SADDLE POINT incorrect At least one of the answers above is NOT correct. Consider the function f(x, y) = e2x-23+109-23 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = (2-2x)e^(2x-x^2+10y-y^2) fy = (10-2y)e^(2x-x^2+10y-y^2) fax = (4x^2)e^(2x-x^2+10y-y^2)- (8x)e^(2x-x^2+10y-y^2)+2e^(2x-x^2+10y- fay = (2-2x)e (2x-x^2+10y-y^2)(10-2y) fyy = (4y^2)e^(2x-x^2+10y-y^2)- (40y)e^(2x-x^2+10y-y^2)+98e^(2x-x^2+10 The critical point with the smallest x-coordinate is ( 1 5 ) Classification: local maximum (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: local minimum (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: saddle point (local minimum, local maximum, saddle point, cannot be determined)