Calc III · §14.7 absolute extrema on a closed region

Abs max & min of f = x² − 2xy + 2y on the rectangle

Domain D = { 0 ≤ x ≤ 3, 0 ≤ y ≤ 2 }. The plan: find interior critical points, then walk each boundary edge (where f becomes a one‑variable function), collect every candidate, and pick the biggest and smallest. Click an edge on the map — or step through below.

Interior criticals + every boundary edge + corners → compare the list. 🏁