Totales Differential/R/Komponentenweise differenzierbare Funktionen/Aufgabe

Seien ${}f_{1},\ldots ,f_{n}$ differenzierbare Funktionen in einer Variablen. Bestimme das totale Differential der Abbildung

{\mathbb {R} }^{n}\longrightarrow {\mathbb {R} }^{n},\,(x_{1},\ldots ,x_{n})\longmapsto (f_{1}(x_{1}),\ldots ,f_{n}(x_{n})).

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