- Second Derivative Test Consider The Function F X Y 5xy 5ln X 6y A The Critical Point Of F X Y Is O 0 0 O 1 (67.98 KiB) Viewed 49 times
Second Derivative Test. Consider the function f(x,y) = 5xy + 5ln(x) + 6y (a) The critical point of f(x,y) is O (0,0) O (
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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 (0,0) O (
Second Derivative Test. Consider the function f(x,y) = 5xy + 5ln(x) + 6y (a) The critical point of f(x,y) is O (0,0) O (1,e) O (-1,1) O (-6/5,5/6) O There is no critical point O (1,-1) O (-1/2,2) O (e,1) (b) Use the second derivative test for functions of two variables to determine that in part (a): O the critical point is a local minimum the second derivative test is inconclusive O the critical point is not in the domain O the critical point is a saddle point O the critical point is a local maximum