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User:Saippuakauppias/Fréchet

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The total derivative (ou derivative in the au sense of Fréchet) exists and equals the gradient of f of a () if .

Idea

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As example R2, , where h is a very small number, equals the sum:

  • where (straight line with gradient of the function at the point )
  • the rest which depends only of h


So [1]

See also

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  1. ^ Analyse pour ingénieurs - semestre 2, C.A.Stuart, Lausanne, p. 25