Do your best: The idiom "Do your best" comes from Mencius Liang, which means do your best.

Do your best: put all your energy into it. From "Twenty-two History of Yi Zhu": "Therefore, whoever can be famous will go all out to overcome difficulties and become a custom."

Both have the meaning of trying to do. To a certain extent, it is better to try your best, with subjective initiative, and trying your best means an objective or negative attitude.