GeoGebra

Order of operations in the applets for the calculating of stationary points

Author:Roman Chijner
This applet contains a description of the procedure for practical calculations that you will find in the applets: 1, 2, 3, 4. *Previous applets explaining algorithms for calculating stationary points: Algorithm for finding the location of local maxima or minima Algorithm for finding the location of the saddle point

Order of operations :

Order of operations :

i:=0 1. Moving the point E along the contour field and set to the stationary point to be investigated. 2. The applet “prompts” the type of stationary point: ✱-Max, ✱-Min or ✱-Saddle. 3. To make the hint “reliable”, scroll the auxiliary point ⬦on the circle. The color of point E should always remain the same. In case of local maximum - red, minimum - blue, saddle point - green. The radius of the circle p0 is the parameter to be set. 4. In the setup window, select the type of local extremum: Max, Min or Saddle. 5. Click Start and the table of iterative calculations will start filling up. i runs through the values up to no. We will have no+2 values in the table.

Case of iterative process to calculate saddle point

Case of iterative process to calculate saddle point

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