Absolute Extrema on

This animation demonstrates how to find the absolute maximum and minimum values of the function f(x,y) = x² + y² − 2x over the rectangle [0,2] × [−1,2] by systematically checking interior critical points, boundary edges, and corners. It visually compares the function values at all nine candidate points on the 3D surface to identify the absolute minimum at (1,0) and the absolute maxima at (0,2) and