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For f(x,y)=x3+y3−3xyf(x,y)=x^{3}+y^{3}-3xy, the Hessian is H=(6x−3−36y)H=\begin{pmatrix}6x&-3\\-3&6y\end{pmatrix}. Compute det⁡H\det H at the critical point (1,1)(1,1).
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