How do these skills level up?

[Azure]

So after playing for a month or two, I'm still not sure how to level up the Alchemy or Trap Disarming skills. Everything else is coming along just fine, but those 1s on my skill page keep nagging at me. It would be nice to see some documentation on skills in general - a guide for new players to learn how to level up without having to do so much blind experimentation.

[ItsRammen]

I'm moving this post to the correct forum location.
As for a guide I'll try get some time to get one up and running but I don't have much spare time at the moment.