differentiable

Having a derivative, said of a function whose domain and codomain are manifolds.

Adjective

  1. Having a derivative, said of a function whose domain and codomain are manifolds.
    • A function which is differentiable wherever it is continuous is said to possess ordinary continuity. - 1896 August, W. Williams, “On the Convergency of Fourier's Series”, in The London, Edinburgh and Dublin...
  2. able to be differentiated; distinguishable, as for example by differing appearance or measurable characteristics.
    • It would, in that case, have been as real as it now is, and would have been differentiable from its Maker as an effect is differentiable from its cause. - 1890, Randolph Sinks Foster, Studies in Theology, page 117:

Origin

Etymology tree Proto-Indo-European *dwóh₁ Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-yós Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia New Latin differentiō New Latin differentiātusbor. English differentiate Proto-Indo-European *-tḗr Proto-Indo-European *-dʰlom Proto-Indo-European *-dʰlis Proto-Italic *-ðlis Latin -bilis Latin -ābilis Old French -ablebor. Middle English -able English -able English differentiable From differentiate + -able.

Forms

more differentiable most differentiable

Synonyms

differentiatable

Derived

complex-differentiable differentiability differentiable manifold differentiably indifferentiable nondifferentiable quasi-differentiable quasidifferentiable subdifferentiable superdifferentiable ultradifferentiable undifferentiable