Originally posted by usck:
a few days ago then i know what is the meaning of dy/dx..

isit differential of y2-y1/x2-x1?
y2-y1/x2-x1 is to find tangent of a slope in a wider range hence not really dy/dx
The real defn of dy/dx=(f(x+delta x)-f(x))/delta x as delta x approaches zero. provided the limit exist.
Simply means. dy/dx at a particular value of x is the "slope" of the curve y at the particular point x. It is exact! Whereas y2-y1/x2-x1 is only exact for straight lines and approximately true for curve, accuracy depends on how far u choose ur point.
In mathematical analysis, dy/dx only exist if for all epsilon greater than zero, there exist a delta such that for all x, 0