With tryndamere you want to make sure you get early game crit with your armor penetration runes. With tryndamere you should always be spam leveling bloodlust while sub-spamming spinning slash. You want to always make sure to grab lizard whenever it is up, ganking is essential, you must search for the lanes that are overextending and gank. In your own lane, make sure to spinning slash THROUGH your target then auto attack, they will generally run because you will most likely hit/crit for a lot of damage. If you are not ganking you must be farming, map awareness is key, farm and be watching the map for potential ganks at all times, try to predict the other teams movements to set up your own little interception gank. Turret diving at 6 is easy if you have lizard, which you can normally kill by yourself with zeal and boots at level 4 with 1 health potion. Chasing into the turret is the best way to dive obviously, dont just dive someone full health. Don't worry about getting last whisper if people get thornmail, your runes armor penetration will get rid of enough where you will still do sufficient damage, while your bloodthirsters lifesteal will make up for the 30% received damage off of thornmail. If the game gets late enough, sell your boots and buy another phantom dancer, less movement speed but you still have about 450 run speed with massive attack speed, making you a bastard to get away from and to get to. Make sure that if you are not extremely fed you stay away from characters like annie, as her ultimate crowd control effects and nuke will make your ult useless because you have to use it just to be able to get away. Feed off of the weaker champions then go nom on some annie.

Thank you, if you wish to have me create a build for any other attack damage, and some ability power characters just ask.

In ranked games tryndamere is normally focused as a target for crowd control, exhausts and all of the above, if instead of ghost you want to get cleanse, it would be a good idea because of the targeting the other team will do to you. Also, it is a lot harder to gank in ranked than in normal because of the teams coordination to ward, and protect each other's lane with map awareness.

With tryndamere you can most likely solo baron when you get your 2nd blood thirster, if not then its your fault. Buying potions early game is another part of tryndamere that should be addressed. While playing Tryndamere early game, about the same time you finish zeal, you should buy an elixir of agility, upon buying you can farm a lot faster and kill a lot faster than you normally could.