In this video we will derive the back-propagation algorithm as is used for neural networks. I use the sigmoid transfer function because it is the most common, but the derivation is the same, and easily extensible.
Helpful diagram: https://www.dropbox.com/s/vj0qg9jlmy3...
This particular video goes from the derivative of the sigmoid itself to the delta for the output layer
The presentation can be found here: https://www.dropbox.com/s/z5bz0cw0box...