◄Previous: Introduction to differentiation

# 1 Derivatives of complex functions

After working through this section, you should be able to:

- use the definition of derivative to show that a given function is differentiable, and to find its derivative
- use the Combination Rules for differentiation to differentiate polynomial and rational functions
- use various strategies to show that a given function is not differentiable at a point
- interpret the derivative of a complex function at a point as a rotation and a scaling of a small disc centred at the point.

◄Contents►Next: 1.1 Defining differentiable functions

OpenLearn - Introduction to complex analysis
Except for third party materials and otherwise, this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence, full copyright detail can be found in the acknowledgements section. Please see full copyright statement for details.