Without calculating the discriminant, explain using the contour diagram for $$f ( x , y ) = x ^ { 3 } + 3 x ^ { 2 } y$$ why f has a saddle point at (0, 0).

Name: Without calculating the discriminant, explain using the contour diagram for \[f ( x , y ) = x ^ { 3 } + 3 x ^ { 2 } y\] why f has a saddle point at (0, 0).
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The Answer of Without calculating the discriminant, explain using the contour diagram for $$f ( x , y ) = x ^ { 3 } + 3 x ^ { 2 } y$$ why f has a saddle point at (0, 0).

Without Calculating the Discriminant, Explain Using the Contour Diagram For f