try ones best的意思是尽某人最大努力
例句
1、
Now that the decision has been made， we must try our best to carry it out.
既然已经作出了决定，我们就必须尽自己最大的努力去执行。
2、
I'll try my best to free them from doubts and misgivings.
我要尽力消除他们心中的疑虑。
3、
Though scientists try their best， it is not as easy as they thought.
尽管付出了最大的努力，但这并不像科学家们想得那么容易。
try ones best to do 尽某人最大的努力
如： I will try my best to help you. 我会尽力帮你的
例句：She tried her best to climb up one of the legs of the table.
one's与文中的her是代词所有格，best 在本句中，用作名词，从前面有her 修饰即可看出。
意思为：“最好的事物最佳精神(或竞技)状态最佳部分(或方面、局面、效果、结果、性能、质量或成绩等)……在翻译时，理解为“全力，尽力，最大努力”。
后面的不定式作目的状语。
try/do one's best do to sth
=do one'st utmost to do sth
=do sth to the best of one's ability.
=go all out to do sth都表示尽某人最大努力做某事/全力以赴去做某事
如：
Good world lamp decoration will do one's utmost to serve you sincerely. 好世界灯饰以:好灯光、好生活为信念，将竭诚为您服务，共创美好的明天!
I'll do my best to find out. 我会尽力查明真相。
It wasn't her fault， she was trying her best to help. 这不是她的错，她是尽力帮忙的。
I feel the personal satisfaction comes from doing work to the best of one's ability. 我感到个人的满足感来自于尽力做好每项工作.
They will go all out to get exactly what they want. 他们将尽最大努力实现自己的愿望。
We will be going all out to ensure it doesn't happen again. 我们要全力保证此事不再发
