A Function is said to be differentiable at a point if its Derivative exists at that point. Let and
on some region containing the point . If satisfies the Cauchy-Riemann
Equations and has continuous first Partial Derivatives at , then exists and is
given by

and the function is said to be Complex Differentiable. Amazingly, there exist Continuous Functions which are nowhere differentiable. Two examples are the Blancmange Function and Weierstraß Function.

© 1996-9

1999-05-24