The word pejorative (pe-jor-a-tiv) is used conversationally every day, and many of us know the meaning, and many of us nod as if we know the meaning. Pejorative can be either an adjective or a noun and means to express disapproval for something. It can be taken as a slur or disrespectful statement when used punitively.
“The writer used the pejorative ‘slugs’ to describe his critics and their mental acuity.”
“Greeks used the term ‘barbarian’ as a pejorative to describe people they considered inferior.”
“My mother was an amateur lexicologist and used many words that few understood were pejoratives.”
Sagacity (sa-gas-a-tee) is another word for insight, wisdom, or understanding. It is a noun, as is the term sagaciousness. The adjective form is sagacious, and the adverb form is sagaciously.
“Stephen tackled his nuclear physics classes with the sagacity of an Einstein.”
“Caroline exhibited great sagacity when she began to dance the minuet.”
“Caitlyn was sagacious with her description of Irish dancing steps.”

