CAS Interactively find and compute local extrema of a nonlinear function of two variables. 4.2
n=4
f₄(x, y) = kf*(3 (1 - x²) ℯ-(x - 0.5)² - (y + 1)² - 2 (x / 5 - x³ - y⁵) ℯ-x² - y² sin(x - y))
List of stationary points of the function f₄(x, y) found by CAS GeoGebra:
Local maximum points➟
{(0.2353663487636, -0.7526426338855), (-1.314409397085, 0.1107732423826), (-1.199524338384, 2.328080711288)};
Local minimum points➟
{(1.577909225881, -1.118018998902), (-0.5170457911473, -1.81661036766), (-2.320827481355, 1.132720987397)(-0.004304874355589, 1.580056357246)};
Saddle points➟
{(-0.7208604308976, -0.1549572912881), (-1.758365538222, 1.382538064664)}.
*Detailed instructions and explanations for this applet can be found in the previous applet.
Implicit curves of the equations: fx(x,y)=0 and fy(x,y)=0. Contour lines. Location of stationary points calculated with CAS GeoGebra
