Want to know the concepts of limits and derivatives

2
by bhavikagarg

2014-01-25T12:01:39+05:30
Derivatives means the rate of change of a parameter with respect to some other parameter.

limits states the limit of a function

2014-01-26T00:10:18+05:30
Formal definition of a limit:
f(x) = c
where c is a Önite constant, means the following
given any positive number " > 0, there exists a positive number > 0 (whose value may depend on ") such that if jx0   xj < , then
jf(x)   cj < "

The slope (or gradient or rate of change) of a function f betweentwo points x0 and x1 (where x0, x1 2 X) is defined as
slope = f(x1)   f(x0)x1   x