'you better', you'd better'
How do I use these phrases? I mean for i.e. 'You better do something' or 'You'd better do sth'? What form is right? And in which cases each phrase is used?

Question

'you better', you'd better' 
How do I use these phrases? I mean for i.e. 'You better do something' or 'You'd better do sth'? What form is right? And in which cases each phrase is used?

Answer

Hello Maxpancho,

*You'd better is a contraction of " you had better" and it is an idiomatic phrase
meaning " ought, should or must do something".

You had better hurry up if you want to catch the plane.

It can't be the 2nd verb in a phrase. You can't say for example:
You will had better......

When speaking most people leave out "had" and say " you better ....
You better hurry up if you want to catch the plane.