differentiability
Noun
Meaning
differentiability (plural differentiabilities)
The ability to be differentiated.
Examples
Axiomatic approach Richard T. Cox showed that Bayesian updating follows from several axioms, including two functional equations and a hypothesis of differentiability.
Finally, since differentiability implies continuity, the contrapositive states discontinuity implies non-differentiability.
Complex differentiability has much stronger consequences than usual (real) differentiability.
Complex differentiability Suppose that : is a function of a complex number z. Then the complex derivative of f at a point z 0 is defined by : provided this limit exists.
Corollary A simple but very useful consequence of L'Hopital's rule is a well-known criterion for differentiability.
Fréchet differentiability is a stronger condition than Gâteaux differentiability.