[See Steps] Find the critical points and test for relative4 extrema. List the critical points for which the Second Partial Derivatives test fails.


Question: Find the critical points and test for relative4 extrema. List the critical points for which the Second Partial Derivatives test fails.

\[f\left( x,y \right)={{x}^{3}}+{{y}^{3}}-6{{x}^{2}}+9{{y}^{2}}+12x+27y+19\]

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