If this is your firsr char i recomment to do quests, but sure there is faster lvling, craft full gear with training trait with exp potion.

For me it takes 11h to lvl50 and that with collecting skyshards and doing some delves/dolmens/world boss.

What I do is a combination of exploration, skyshard gathering, lorebook collecting and dungeons. I do this until I am Mage's Guild 10 as by then I find that I have enough skill points to spend comfortably, plus I've got the ever-important Meteor. This method, however, definitely isn't the fastest and I imagine sounds incredibly boring to some, but for me, it's a kind of grind that I don't mind and actually find enjoyable because of all that I bump into along the way (meeting new friends through zone chat group requests, helping people with dolmens, delves etc.). Popping xp pots can help to make the road to 50 faster, though I don't like doing so as I find that I need to grind for skyshards and books after the fact.

I use the dungeon finder primarily. My new templar just hit 50 in under 3 days played (fast for me), but she did quest until around 20. It isn't for everyone, I just love doing dungeons. You have to put up with a lot of new players and idiots though. A lot of idiots. I leveled as a tank for fast q' s, then switched to heals at 50.