derision vs offensive activity

derision and offensive activity both are nouns.

Word	Noun	Adjective	Verb	Adverb
derision	Yes	No	No	No
offensive activity	Yes	No	No	No

As nouns, offensive activity is a hypernym of derision; that is, offensive activity is a word with a broader meaning than derision:

derision: the act of deriding or treating with contempt
offensive activity: a lack of politeness; a failure to show regard for others; wounding the feelings of others

Other hypernyms of derision include discourtesy, offence, offense.

derision (noun)	offensive activity (noun)
the act of deriding or treating with contempt	a lack of politeness; a failure to show regard for others; wounding the feelings of others
contemptuous laughter