laugh at vs make fun of

laugh at

verb
  • To scorn or tease; to evince contempt or pity for someone, usually contrasted with laugh with. 

  • Used other than figuratively or idiomatically: see laugh, at. 

make fun of

verb
  • To tease, ridicule or make jokes about, generally in a pejorative manner. 

How often have the words laugh at and make fun of occurred in a corpus of books? (source: Google Ngram Viewer )