Mathematics, 18.07.2019 01:00 sumitshekhar348
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) =
Answers: 1
.
:
. The second equation has solutions 
and then 
and you have two points 
. 
and calculate ![\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576](/tpl/images/0102/1683/1b0d4.png)
.
and 
, 
is a point of maximum and 
.
and 
.
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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) lo...
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