To Differentiate

1. (transitive) To show, or be the distinction between two things.
2. (intransitive) To perceive the difference between things; to discriminate.
3. (transitive, intransitive) To modify, or be modified.
4. (transitive, mathematics) To calculate the derivative of a function.
5. (transitive, mathematics) To calculate the differential of a function of multiple variables.
6. (intransitive, biology) To produce distinct organs or to achieve specific functions by a process of development called differentiation.

(to show the distinction between things): differentialize

(to perceive the difference between things): differentialize; tell apart

(to modify): change, transform; alter

(to show the distinction between things): equate

(to perceive the difference between things): mix up, muddle up

(to modify): leave alone, preserve