software for sketching derivatives from arbitrary functions drawn by hand

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So, let's say I want to visualize the derivative of an arbitrary function and vice-versa. What software can I use to do this? By arbitrary I mean I just want to draw any function by hand and see the behavior of the derivative. I don't want to introduce an equation to graph its function but to draw the curve by using the pencil thing and the software to show its derivative.

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There is a freeware program called scanit, or (ScanIt) you can find at Softpedia. It will let you scan a line to produce a list of X,Y pairs that you can than load into Excel (or whatever) and calculate approximate dy/dx.