Front derailleur doesn't change from grear 1 to gear 2 I have a Shinamo Tourney front derailleur that doesn't change well from gear 1 to gear 2 (I'm new to bicycles so I don't know standards, so I think I should specify that gear #1 is the smallest).
In fact, it does sometimes change, but only after a few minutes of pedaling, and it keeps making a rattling sound as it's still on gear #1, but the "command" is to get to gear #2.
The problem only holds when I change from 1 to 2, never viceversa. I think, but I am not 100% sure that the problem might be correlated with my chain falling off a while back (I don't remember the details, as in which gear I was and all that, sorry).

I'm not sure if I got to detail the problem as I should be, just because I'm new to this, but if you are willing to help and feel that I missed some information, please let me know and I will give you the information you need.
If you don't find the "barrel adjuster", what you could do is pull the cable a little bit more.

Find the bolt on the derailleur that holds the cable.
Just in case, check that if you pull the cable by hand the derailleur cage moves outwards. If so, set the derailleur to the lowest gear.

Hold the cable with pliers, and with a hex key release the bolt slightly, then pull the cable to make sure it's very tense. (It won't go too far, just a little.) Tighten the bolt again as you still hold the cable with the pliers.