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.