There are options for executing both single and multiple cells. After that, use the entries on the Cell Menu or the icons on the toolbar to execute the code in the cells provided in the file. The file maxmin.m is designed to be run in "cell mode." Open the file maxmin.m in the Matlab editor, then enable cell mode from the Cell Menu. Download the file to a directory or folder on your system. You can download the Matlab file at the following link. Matlab FilesĪlthough the following file features advanced use of Matlab, we include it here for those interested in discovering how we generated the images for this activity. The results in Table 1 are identical to the results found using Figure 9. Note how the graphical visualization and analytical solution complement one another. ![]() First, declare symbolic variables `x` and `y`, then compute `f`. This requires that we find the partial derivative, a simple task using Matlab's Symbolic Toolbox. The first step of the anayltical approach is to find the critical values of the function `f(x,y)=x^3 y^3 3x^2-3y^2-8`. This means that we are constantly walking downhill as we approach the point `(0,2)`, making `(0,2)` a local minimum point.
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