Second Derivative Test. Consider the function f(x,y) = 3xy + 3ln(x) + 4y (a) The critical point of f(x,y) is (-1,1) (0,0

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Second Derivative Test Consider The Function F X Y 3xy 3ln X 4y A The Critical Point Of F X Y Is 1 1 0 0 1 (28.65 KiB) Viewed 60 times

Second Derivative Test. Consider the function f(x,y) = 3xy + 3ln(x) + 4y (a) The critical point of f(x,y) is (-1,1) (0,0) There is no critical point (-1/2,2) (-4/3,3/4) (1,-1) (1,e) (e,1) (b) Use the second derivative test for functions of two variables to determine that in part (a): the critical point is a local minimum the critical point is not in the domain the critical point is a saddle point the critical point is a local maximum the second derivative test is inconclusive