Math 2.0

Real functions Concept

Strict differentiability

Builds on Fréchet derivative

Summary

A function is strictly differentiable at a point when a single linear map approximates all its difference quotients near that point. Both points of each quotient can move. This is stronger than the Fréchet derivative condition, in which one of the two points stays fixed.

Reading path

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Euclidean space, object, no evidence levelEuclidean spaceobjectTotal derivative, concept, no evidence levelTotal derivativeconceptFréchet derivative, concept, no evidence levelFréchet derivativeconceptStrict differentiability, concept, no evidence levelStrict differentiabil…concept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Total derivative concept
  3. Fréchet derivative concept
  4. Strict differentiability concept

Further reading

  1. Web https://en.wikipedia.org/wiki/Strict_differentiability, Basic definition
About this page
Tag0B6QWX3086
URIm2://0B6QWX3086
Aliasesstrictly-differentiable
Kindconcept
WritingW0 stub
MSC26B05
UsesFréchet derivative
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