This builds main point is to get a balanced akali champion. The reason i mix AD and AP is because of her passive. I get health so that you can safely enter battle and go for kills.
If u dont feed and get enough XP you will do quite good late game. I mostly focus AP because of lich bane. If you dont get lich bane this build wont work for you. The combo of using Q then attack and then back upp is a great harras at any time. It deals massive damage over short time.

Choosing a laning partner/Early game
To choose who you are going with affects you greatly. You should try to find a melee dps (stun prefered) because if its a ranged champion you will get targeted for kills. If you have no other to go with than a ranged champion play carefull. If you dont you will get killed severall times. Ask players from other lanes to initiate Ganks. This way you will get money without risking your life.

Mid game:
In the middle of the game you will have a lot of Hp this makes you fully able to dive in a group of enemies and then leave with a kill. For example if someone is standing with a bunch of allies but with only 200 Hp you cam take them out. In team fights you are only usefull for slowing and finishing off those with low Hp. The slow is very important because this is the only way you can give team-mates kills.

Late game:Late game you are a hardcore nuker its easy to low and enemy over such a short time that he will barely be able to fight back.So if you see someone weak (like Twitch) standing in a team fight dont be afraid of his team mates you can easilly kill twitch and then use Twilight Shroud while in Shroud you use ghost to quickly run to your allies.