CAS Interactively find and compute local extrema of a nonlinear function of two variables. 3.2

[b] f(x, y) = k[sub]f[/sub] (3ℯ[sup]-(y + 1)² - x²[/sup] (x - 1)² - ℯ[sup]-(x + 1)² - 8²[/sup] / 3 + [b]ℯ[/b][sup](-x² - y²)[/sup] (10x³ - 2x + 10y⁵))[br][size=85] List of stationary points of the function f₄(x, y) found by CAS GeoGebra:[br][color=#ff0000][u]Local maximum points[/u][/color]➟[/size][br][size=85] [color=#cc0000]{(-0.4655263056553, -0.6217120029846), (1.285162657453, -0.004833795524588), (-0.01059996592404, 1.580343715217)};[br][/color][/size] [br][color=#0000ff][u][size=85]Local minimum points[/size][/u][/color]➟[br][size=85][color=#1e84cc] {(0.2288469494985, -1.626050253893), (0.3052469976531, 0.3238381792756), (-1.35971813141, 0.2144664990768)};[br][/color][/size][br][color=#38761d][u][size=85]Saddle points[/size][/u][/color]➟[/b][size=85][b] [br][color=#6aa84f] {(0.4203044911699, -0.3877541612692), (1.097503671463, 0.8540090517851), (-0.2806862254121, 0.4785049750475)}}.[br][br][/color][/b][color=#333333][b]*Detailed instructions and explanations for this applet can be found in the previous [url=https://www.geogebra.org/m/vdfrrapq]applet[/url].[/b][br][/color][/size]

Information: CAS Interactively find and compute local extrema of a nonlinear function of two variables. 3.2