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Derivatives means the rate of change of a parameter with respect to some other parameter.

limits states the limit of a function

0 0 0
Formal definition of a limit:
 \lim_{n \to \infty} a_n  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
0 0 0
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