The, the adverb, modifies better, the comparative adjective, and so much modifies the better. In your sentence, do better is correct. Scroll to the bottom of the page when you enter you better into the search box and you wil find many threads on the you better versus you had (or you'd) better showing.
You can certainly say that, effect3. While are you feeling better refers to someone, let's say, who catches a cold and the next day you raise the question are you. Make better requires an object/compliment, i.e., you can make things.
But i don't think you have improved the clarity of the. I want to give her my suggestion on the food. You'd better + infinitive implica que las consecuencias te van a ser defavorables si no haces lo señalado. But i will insist on do you feel better now.
Make better has a different meaning than do better; All 24 instances of better at doing communicated the same meaning that you intend. Le encuentro sentido a you'd better have fun en el contexto expuesto. With better doing, 8 of the 13 instances looked as if they followed your structure.
It’s better to finish your homework prior going to play basketball. Only option 2 so much the better works because it is the only one of the four. My mother is now cooking meat in the kitchen. It would be better finish your homework prior going to play basketball.
Xcloud로 가보면 전과 다르게 옆에 koreacentral 이 뜹니다. Better can be used as a verb to replace improve with the same meaning.