CAS Interactively find and compute local extrema of a nonlinear function of two variables. 1.2
n=2
f2(x, y) = k_f *(-2 x⁵ y - 2y⁶ - 2x² y² + 2y³ + x³ + 3x² + 4y² + x y + x - y - 5)
List of stationary points of the function f2(x, y) found by CAS GeoGebra:
Local maximum points➟
{(-0.5859579913713, -0.7589219164342), (0.9382201861925, 0.9115586250164)};
Local minimum points➟
{(-0.2156464889144, 0.1404012457919);
Saddle points➟
{(-0.06393113961456, -0.7873249409675), (-1.044769689623, -0.1714355256084), (1.10346396573, 0.6714525932472), (-0.6559737109602, 0.9705096938403)}.
*Detailed instructions and explanations for this applet can be found in the previous applet.