The purpose of this applet is to find and calculate the possible extremes of the nonlinear function f(x,y). The possibilities of such calculations are shown by the example of the sum of several nonlinear functions: f(x, y) = k_f (3 (1 - x²) ℯ^(-(x - 0.5)² - (y + 1)²) - 2 (x / 5 - x³ - y⁵) ℯ^(-x² - y²) sin(x - y)).
The problem comes down to finding the first partial derivatives fx(x,y) and fy(x,y). Using equations with implicit functions fx(x,y)=0, fy(x,y)=0 in the CAS section of GeoGebra, the intersection points of these implicit functions are found numerically, which are possible extreme points.
