Question:
Let \( f(x,y) = x^2 + 3y^2 - \frac{2}{3} xy \) at \( (x,y) \in \mathbb{R}^2 \). Then
Let \( f(x,y) = x^2 + 3y^2 - \frac{2}{3} xy \) at \( (x,y) \in \mathbb{R}^2 \). Then
Updated On: Oct 1, 2024
- \( f \) has a point of local minimum
- \( f \) has a point of local maximum
- \( f \) has a saddle point
- \( f \) has no point of local minimum, no point of local maximum, and no saddle point
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The Correct Option is C
Solution and Explanation
The correct option is (C): \( f \) has a saddle point
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