Second Derivative Test. Consider the function f(x,y) = 5xy + 5ln(x) + 6y (a) The critical point of f(x,y) is O O O (-1/2

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Second Derivative Test Consider The Function F X Y 5xy 5ln X 6y A The Critical Point Of F X Y Is O O O 1 2 1 (87.77 KiB) Viewed 51 times

Second Derivative Test. Consider the function f(x,y) = 5xy + 5ln(x) + 6y (a) The critical point of f(x,y) is O O O (-1/2,2) (0,0) (e,1) (1,e) (1,-1) There is no critical point (-1,1) (-6/5,5/6) (b) Use the second derivative test for functions of two variables to determine that in part (a): O O the second derivative test is inconclusive the critical point is not in the domain the critical point is a local minimum the critical point is a local maximum the critical point is a saddle point