The function f(x,y)=x^3+y^3-9xy has critical points at (0, 0) and (3, 3). Use the second-derivative


Question: The function \(f\left( x,y \right)={{x}^{3}}+{{y}^{3}}-9xy\) has critical points at (0, 0) and (3, 3). Use the second-derivative test to determine whether each of these critical points corresponds to a relative maximum, relative minimum or neither.

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