To extend the concept of differentiability to a function of several variables, F : ℝn→ℝ, at a point P0 of its domain, we must recall that the value of a differentiable function at a point close to P0, P0 + \( \bar h \), can be approximated by the value of the function at the point, F(P0), plus the value of a linear transformation, called precisely the derivative at P0, applied to the increment \( \bar h \), where \( \left\| {\bar h} \right\| \) is sufficiently small.


Equivalence Relation Topological Space Symmetric Group Level Surface Inverse Image 
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© Birkhäuser Verlag AG 2007

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