First of all, when I plot the function like this, I get the seeming discontinuity, but when zooming in, it becomes smaller and smaller, suggesting it's a visual bug (or so I assume, perhaps it's on purpose), but when I then differentiate it, it gives me this, which I did not expect at all looking at the first graph. What's going on here? How can I get the "true" derivative, as it would be if the original function was continuous (and I thought it was, perhaps you guys can also tell whether or not this is indeed the case).
Thanks!