- Second Derivative Test Consider The Function F X Y 2xy 2ln X 10y A The Critical Point Of F X Y Is O 5 1 5 1 (38.14 KiB) Viewed 55 times
Second Derivative Test. Consider the function f(x,y) = 2xy + 2ln(x) + 10y (a) The critical point of f(x,y) is O (-5,1/5)
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Second Derivative Test. Consider the function f(x,y) = 2xy + 2ln(x) + 10y (a) The critical point of f(x,y) is O (-5,1/5)
Second Derivative Test. Consider the function f(x,y) = 2xy + 2ln(x) + 10y (a) The critical point of f(x,y) is O (-5,1/5) O (1,-1) There is no critical point ○ (0,0) ○ (-1,1) ○ (e,1) ○ (1,e) O (-1/2,2) (b) Use the second derivative test for functions of two variables to determine that in part (a): O the critical point is a saddle point O the critical point is a local minimum O the critical point is a local maximum O the second derivative test is inconclusive O the critical point is not in the domain