Determine the local extrema of the function.
-$f(x, y)=4 x y-x^{2} y-x y^{2}$
A) none
B) $\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=2.37\right.$, maximum
C) $\mathrm{f}(0,0)=0$, minimum
D) $\left\{\left(\frac{2}{3}, \frac{2}{3}\right)=1.185\right.$, maximum

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The Answer of Determine the local extrema of the function.
-$f(x, y)=4 x y-x^{2} y-x y^{2}$
A) none
B) $\left\{\left(\frac{4}{3}, \frac{4}{3}\right)=2.37\right.$, maximum
C) $\mathrm{f}(0,0)=0$, minimum
D) $\left\{\left(\frac{2}{3}, \frac{2}{3}\right)=1.185\right.$, maximum

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Determine the Local Extrema of the Function $f(x, y)=4 x y-x^{2} y-x y^{2}$