Showing earnest, strenuous effort; doing something with utmost effort (often used as 懸命に).
彼は懸命に仕事に取り組んでいる。
He is working diligently/earnestly.
最後の試合でチームは懸命のプレーを見せた。
In the final match the team showed strenuous effort.
親は子どものために懸命に働く。
Parents work hard for the sake of their children.