distinguish vs differentiate

distinguish and differentiate both are verbs.

Word	Noun	Adjective	Verb	Adverb
distinguish	No	No	Yes	No
differentiate	No	No	Yes	No

As verbs, distinguish and differentiate are synonyms defined as:

Other synonyms of distinguish include secern, secernate, separate, severalise, severalize, tell, tell apart.

As verbs, distinguish and differentiate are synonyms defined as:

distinguish and differentiate: be a distinctive feature, attribute, or trait; sometimes in a very positive sense

Other synonyms of distinguish include mark.

distinguish (verb)	differentiate (verb)
mark as different	become distinct and acquire a different character
identify as in botany or biology, for example	become different during development
be a distinctive feature, attribute, or trait; sometimes in a very positive sense	evolve so as to lead to a new species or develop in a way most suited to the environment
make conspicuous or noteworthy	calculate a derivative; take the derivative
detect with the senses	mark as different
	be a distinctive feature, attribute, or trait; sometimes in a very positive sense