My question concerns simple functions e.g. exponential or trigonometrical curves. Suppose you are given two points, and are asked to find the distance between those two points which also lie on the curve, how would this be calculated?
In case the answer is obvious, pardon my naivete- I'm not a math major. Thanks!
I think an example would help- suppose the curve is y = 2^x, what is the distance between the points (2, 4) and (10, 1024)? This is not homework- the functions I'm working with are much more complicated.