Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local m aximum (x, y) =
1 answer:
Find the first derivatives:
.
Solve the system
:
. The second equation has solutions
and then
and you have two points
.
Find the first derivatives:
and calculate
.
Since
and
,
is a point of maximum and
.
Since
and
,
is a point of minimum and
.
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