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Soit \(f : \Rr^3 \rightarrow \Rr\) dérivable. On pose \(F (x, y, z) = f (x-y, y-z, z-x)\).
Calculer \(\frac{\partial F}{\partial x} + \frac{\partial F}{\partial y} +
\frac{\partial F}{\partial z}\).
Soit \(f : \Rr^3 \rightarrow \Rr\) dérivable. On pose \(F (x, y, z) = f (x-y, y-z, z-x)\).
Calculer \(\frac{\partial F}{\partial x} + \frac{\partial F}{\partial y} +
\frac{\partial F}{\partial z}\).