Also asked, what is the front derailleur on a bike?
The front derailleur is the mechanism that shifts the chain on bike with more than one front chainring. There are many different makes and models, but they all share the same basic design and functionality. Front derailleurs are attached to the bike with either a clamp or bracket.
Subsequently, question is, are front derailleurs necessary? Technically neither are necessary, not sure how the chain would hold on the crank without the derailleur though, you may have to switch to a single gear in front.
Beside above, what is a mech on a bike?
A rear derailleur (often referred to as a 'rear mech') is the mechanism that moves the chain from cog-to-cog on the cassette at the rear of the bike.
Do you adjust the front or rear derailleur first?
In a nutshell, adjust the front derailleur first, then the rear. If the derailers just need minor tweaking (they are basically in adjustment but are "not quite right") then you adjust the one that is obviously wrong, check the overall adjustment again, then again adjust what needs adjusting.