So, for what you guys tell me here, the BIP32 Extended Key is the true address structure to generate from (the first address list). So what does the second Derived Private Key represent, since it seems to generate a valid address child chain?
The derived key is an extended key that is derived from the first extended key.
OK, thanks. I think I understand it now. There is lots of derivation paths than can give you many different HD wallets, all from a single Extended Master Key.