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

Question 56

Multiple Choice

Determine the local extrema of the function.
- f(x,y) =x3+y3−4xyf(x, y) =x^{3}+y^{3}-4 x y


A) f {(43,43) =2.37\left\{\left(\frac{4}{3}, \frac{4}{3}\right) =2.37\right. , maximum
B) f {(43,43) =−2.37\left\{\left(\frac{4}{3}, \frac{4}{3}\right) =-2.37\right. , minimum
C) f(0,0) =0\mathrm{f}(0,0) =0 , maximum
D) f(0,0) =0\mathrm{f}(0,0) =0 , minimum

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