I created this app in order to teach implicit differentiation in my AP Calculus class, but I think that it could be useful in many other courses. Namely: biology, genetics, and pre-calc.
There are many things that can be seen by this simulation, including sinusoidal behavior, and many many biology standards. Check it out. If you use it, let me know how it goes!
P.S> I’ll be adding a function that allows you to superimpose an ellipse of specified parameters (a, b) on the scatter graph.