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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local maximum (x, y) =
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Nov 2, 2019
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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local maximum (x, y) =
Mathematics
college
Hugo Tunius
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Hugo Tunius
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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
.
Omar Omeiri
answered
Nov 8, 2019
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Omar Omeiri
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