To make different; distinguish by differences; constitute a difference between: as, color of skin differentiates the races of men.Specifically In biology, to accomplish or develop differentiation in; make unlike by modification; specialize in structure or function.In logic, to discriminate between, by observing or describing the differences.In mathematics, to obtain the differential or the differential coefficient of: as, to differentiate an equation.To acquire a distinct and separate character.n. A differential coefficient.In history and cytology, to reveal or resolve structures in (a cell, tissue, or organ) by treating with some stain or reagent.