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Kapittel 6 · Ekstremalpunkterextrema · closed region

Global Extrema on a Triangle

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Finding the global min and max of f(x, y) = x² + y² − xy + x + y on the triangle x ≤ 0, y ≤ 0, x + y ≥ −3. Walks Plenum 6 problem 3 — the highest-leverage exam workout in chapter 6. Candidates: an interior critical point at (−1, −1), three edge minimisers, three corners. Min = −1 at the interior point; max = 6 at the two off-origin corners.

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