Smooth functions

Hi,

there is a function in form x(t), y(t). How to check for what ranges of t function's curve is ragged and when it's smooth?

OP here,

>>1 sure, it's partially related to math, this could look something like that for function x(t) = t*10, y(t) = t*t:

map(lambda t: (t*10, t*t), xrange(200))

now having this list (having t, x(t), y(t)) how to point mentioned by me ranges? That's just a sample :)

>>4 by ragged or smooth I mean common sense of them, e.g. 100*sin(x) is smooth, 0.5*sin(x) is ragged, abs(x) is ragged near to x=0, otherwise it's smooth. I'm not sure how to translate common sense of those terms into math.