noun
laughing in disbelief; scoffing laugh
A laugh of exasperation or astonishment at something so silly or stupid that it's hard to take seriously.
彼の言い訳に、思わず呆れ笑いが出た。
I couldn't help but let out a scoffing laugh at his excuse.
あまりに馬鹿げた提案に、呆れ笑いするしかなかった。
The proposal was so absurd that I could only laugh in disbelief.
苦笑い is a bitter or wry smile, often from embarrassment or discomfort, while 呆れ笑い is a laugh of disbelief at something ridiculous.
失笑 is a sudden, involuntary laugh at something inappropriate or foolish, often more spontaneous and less controlled than 呆れ笑い.
Compound of 呆れ (the 連用形 of 呆れる, 'to be amazed/dumbfounded') and 笑い ('laugh').