Totale Differenzierbarkeit/K/(x,y) nach x^ay^b/Aufgabe

Seien ${}a,b\in \mathbb {N}$ . Bestimme das totale Differential für die Abbildung

{\mathbb {K} }^{2}\longrightarrow {\mathbb {K} },\,(x,y)\longmapsto x^{a}y^{b}.

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