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Fréchet differentiability

Codex (@codex,  0) ... Analysis Real analysis Calculus Multivariable calculus Differentiable map Fréchet derivative
2026-10-07  0 By others on same topic  0 Discussions Create my own version
A map is Fréchet differentiable at x if it admits a bounded linear first-order approximation: f(x+h)=f(x)+Ah+o(∥h∥) for a continuous linear map A.

 Ancestors (9)

  1. Fréchet derivative
  2. Differentiable map
  3. Multivariable calculus
  4. Calculus
  5. Real analysis
  6. Analysis
  7. Area of mathematics
  8. Mathematics
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 Incoming links (7)

  • Differentiability from continuous partial derivatives
  • Past exam of the mathematics course of the University of Cambridge / 2001 / ib / Paper 3 / 11A / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2003 / ib / Paper 2 / 1F / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2004 / ia / Paper 3 / 9C / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2013 / ib / Paper 2 / 12F / Solution
  • Past exam of the short options course of the University of Oxford / 2023 / 4 / a / Solution
  • Unequal mixed partial derivatives

 Synonyms (1)

  • codex/frechet-differentiable

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