Question: A particle moves under the force field (mathbf{F}=-abla V), where the potential function is given by (V(x, y, z)=x^{3}+y^{3}-3 x y+5). Find the equilibrium points

A particle moves under the force field $\mathbf{F}=-abla V$, where the potential function is given by $V(x, y, z)=x^{3}+y^{3}-3 x y+5$. Find the equilibrium points of $\mathbf{F}$ and determine if the equilibria are stable or unstable.

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