Determine the local extrema of the function.
-$f(x, y)=x^{3}+y^{3}-4 x y$
A) f$\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=2.37\right.$, maximum
B) f$\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=-2.37\right.$, minimum
C) $\mathrm{f}(0,0)=0$, maximum
D) $\mathrm{f}(0,0)=0$, minimum

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The Answer of Determine the local extrema of the function.
-$f(x, y)=x^{3}+y^{3}-4 x y$
A) f$\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=2.37\right.$, maximum
B) f$\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=-2.37\right.$, minimum
C) $\mathrm{f}(0,0)=0$, maximum
D) $\mathrm{f}(0,0)=0$, minimum

Determine the Local Extrema of the Function f(x,y)=x3+y3−4xyf(x, y)=x^{3}+y^{3}-4 x yf(x,y)=x3+y3−4xy

Determine the Local Extrema of the Function $f(x, y)=x^{3}+y^{3}-4 x y$