- Second Derivative Test Consider The Function F X Y 3xy 3ln X 8y A The Critical Point Of F X Y Is O 8 3 3 8 1 (43.4 KiB) Viewed 56 times
Second Derivative Test. Consider the function f(x,y) = 3xy + 3ln(x) + 8y (a) The critical point of f(x,y) is O (-8/3,3/8
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Second Derivative Test. Consider the function f(x,y) = 3xy + 3ln(x) + 8y (a) The critical point of f(x,y) is O (-8/3,3/8
Second Derivative Test. Consider the function f(x,y) = 3xy + 3ln(x) + 8y (a) The critical point of f(x,y) is O (-8/3,3/8) There is no critical point (0,0) (e,1) (1,e) Ⓒ (-1/2,2) (-1,1) (1,-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 O the critical point is a saddle point the critical point is a local maximum the second derivative test is inconclusive the critical point is not in the domain