jax is a beast when it comes to laneing every time your leap strike is of cooldown jump them then run back when you get blasting wand your going to be hitting like a truck, and try to save your stun tell you know you can jump him and kill him

i like atma's impater because it will give about 100hp and 40 extra damage and if you r doing good in you lane it wont be to hard to get early to mid game but like any game you need to see what there teem comp is and what they are building and counter it if there stacking armor get a last whisper be carefull when thay get a ''sword of the divine'' jax is hard to kill do to his dadge with runes and the ninja boots with lvl 5 in counter strike he will have 40% dodge but sword of the divine will make the cham never miss for 5 sec it may not seem like a loing time but to a trin or yi 5 sec is all thay need but i like to make that disadvantage in to an advantage so it may not be bad to pick a thornmail 30% of there damage back at them will mack them kill themself's

jax is not the best farmer early to mid game do to no aoe attack's but end game it will be a cake walk but intell then you will need to last hit as many minions as you can and gank as much as you are able

try to work with your teem when you want to jump and the enemy teem on the dragon try to have your tank or other with a flash or any other form of move to go over the wall and jump to them or if there going to gank you have a teem mate go near the other side of the wall and jump to him