F(x,y) = x^2+y^2+x^2y+6 find the absolute max and min
1 answer:
has critical points where the partial derivatives simultaneously vanish:
So we have three critical points to consider,
,
, and
.
The function has Hessian
At the critical points, we have
which means there is a minimum at (0, 0) of
;
which means
is a saddle point; and
which means
is also a saddle point.
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