23. DETAILS Second Derivative Test. Consider the function f(x,y) = 3xy + 5ln(x) + 8y (a) The critical point of f(x,y) is

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23 Details Second Derivative Test Consider The Function F X Y 3xy 5ln X 8y A The Critical Point Of F X Y Is 1 (42.18 KiB) Viewed 53 times

23. DETAILS Second Derivative Test. Consider the function f(x,y) = 3xy + 5ln(x) + 8y (a) The critical point of f(x,y) is O (1,e) O (e,1) O There is no critical point O (-1/2,2) O (0,0) O (-8/3,5/8) O (1,-1) O (-1,1) 2 (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 critical point is a saddle point O the critical point is a local maximum O the critical point is not in the domain the second derivative test is inconclusive