[D] can somebody check my backpropagation derivation?

I just completed my own derivation of backpropagation because I could not find any comprehensive resources of it that's to my taste. It is for fully connected sequential neural network. Here's my pdf file link: [https://github.com/sejin8642/projnmr/blob/main/latex/backpropagation/ft.pdf](https://github.com/sejin8642/projnmr/blob/main/latex/backpropagation/ft.pdf)

Any helpful feedback is appreciated.

backpropagation derivation machinelearning