YouTube Network Partnership Needed for Minecraft Tutorials?
For Minecraft you don't need to be on a Youtube Network.

Mojang says you can monetize your Minecraft Youtube videos.

Even if you use the game's music in it (however you can't use the music outside the video).

The Minecraft EULA says: 


  If you upload videos of the game to video sharing and streaming sites
  you are however allowed to put ads on them.


And the Mojang brand guidelines says:


  You are allowed to put footage of our game on YouTube or any other
  website. In fact, we like you doing so. 
  ...
  ...
  you may make money using your videos of our game by, for instance,
  through ad revenue, as long as you also add your own unique content
  to the video, such as audio
  commentary.