CAS Interactively find and compute local extrema of a nonlinear function of two variables. 1.2
n=1
f₁(x, y) = kf*(x4+y4-8*x2-18*y2-2 )
List of stationary points of the function f₁(x, y) found by CAS GeoGebra:
Local maximum points➟
{(0, 0)};
Local minimum points➟
{(2, 3), (-2, -3), (-2, 3), (2, -3)};
Saddle points➟
{(2, 0), (0, 3), (-2, 0), (0, -3)}.
*Detailed instructions and explanations for this applet can be found in the previous applet.