[Steps Shown] Let f(x,y)=x^3+2y^2-3x^2-9x-16y. Find the first-order critical points and classify them as relative maximum, relative minimum or saddle point
Question: Let \(f(x,y)={{x}^{3}}+2{{y}^{2}}-3{{x}^{2}}-9x-16y\). Find the first-order critical points and classify them as relative maximum, relative minimum or saddle point using the second-partial test.
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