Two days ago in Julia Lab, Jarrett, Spencer, Alan and I discussed the best ways of expressing derivatives for automatic differentiation in complex-valued programs. Having inspired from this discussion, I want to share my understanding of the subject and eventually present a chain rule for complex derivatives.
Derivative
\mathbb{R}ealistic view: derivative is a real number that tells you how fast a value changes with respect to a variable.
D = \frac{dy}{dx} Continue reading