00:06This video is about using GeoGebra to find partial derivatives, to be able to determine
00:11Its 3D shape and planes, of a quadratic hyperboloid. For this we write the function,
00:17Here's a simple case to see its graph and calculation; this is, we have the Z function,
00:21equal to X squared, plus 3XY, and Y squared. A very large graph is observed, in its
00:33dimensions, for this we go to properties, here we can change the color from pink to green,
00:39For example, in Projection on the Basic tab, we check the box, Crop, and Show Crop,
00:49and we obtain the graph of the quadratic hyperboloid. To determine its derivative here, recall that
00:57The partial derivative of a function of several variables is the derivative with respect to each
01:01one of those variables, keeping the others constant. Thus we derive with respect to X,
01:07We get 2X, plus 3Y, here in GeoGebra goes the function and the variable to be determined,
01:13The rest are constants. We see a graph; in the foreground, here we can change.
01:26in color. We do the same, we write derivative, we write the function and the variable,
01:47In this case it is Y.
02:16And we get the background.
02:25Here we can change the color.
02:34That's all, if you found the video helpful, don't forget to subscribe.
Comentarios