CAS Interactively find and compute local extrema of a nonlinear function of two variables. 3.2
f(x, y) = kf (3ℯ-(y + 1)² - x² (x - 1)² - ℯ-(x + 1)² - 8² / 3 + ℯ(-x² - y²) (10x³ - 2x + 10y⁵))
List of stationary points of the function f₄(x, y) found by CAS GeoGebra:
Local maximum points➟
{(-0.4655263056553, -0.6217120029846), (1.285162657453, -0.004833795524588), (-0.01059996592404, 1.580343715217)};
Local minimum points➟
{(0.2288469494985, -1.626050253893), (0.3052469976531, 0.3238381792756), (-1.35971813141, 0.2144664990768)};
Saddle points➟
{(0.4203044911699, -0.3877541612692), (1.097503671463, 0.8540090517851), (-0.2806862254121, 0.4785049750475)}}.
*Detailed instructions and explanations for this applet can be found in the previous applet.
