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Instructions on how to use maple 2 to graph surfaces and their tangent planes, as well as compare contour plots with the actual surfaces. Examples of functions and their partial derivatives.
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We already saw the “plot3d” command to plot surfaces, i.e. graphs of functions. But Maple can also draw several surfaces in one plot. For example, if and then we can draw both surfaces via the Maple command:
Note that these functions are not accidentally chosen, but the second one is the tangent plane to the function at the point - confirm!
Compare that with a real plot of the surface.
only enter the right side of the function definition). Use this “right-click” approach to compute the given partial derivatives: