Definition 6.5.1: Derivative
Let f be a function with domain D in R,
and D is an open set in R. Then the
derivative of f at the point c is defined
as
f'(c) =If that limit exits, the function is called differentiable at c. If f is differentiable at every point in D then f is called differentiable in D.
Other notations for the derivative of f are or f(x)