Second Derivative Test. Consider the function f(x,y) = 4xy + 4ln(x) + 6y (a) The critical point of f(x,y) is O (1,-1) ○

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Second Derivative Test Consider The Function F X Y 4xy 4ln X 6y A The Critical Point Of F X Y Is O 1 1 1 (17.97 KiB) Viewed 50 times

Second Derivative Test. Consider the function f(x,y) = 4xy + 4ln(x) + 6y (a) The critical point of f(x,y) is O (1,-1) ○ (e,1) O (-1/2,2) O (0,0) O (-1,1) O (1,e) O (-3/2,2/3) O There is no critical point (b) Use the second derivative test for functions of two variables to determine that in part (a): O the second derivative test is inconclusive O the critical point is not in the domain O the critical point is a local maximum O the critical point is a saddle point O the critical point is a local minimum