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Beliebt Rechnen >

(\partial)/(\partial y)((2x+3y)^7)

Lösung

\frac{\partial}{\partial y} ((2 x + 3 y)^{7})

Lösung

21 (2 x + 3 y)^{6}

Schritte zur Lösung

\frac{\partial}{\partial y} ((2 x + 3 y)^{7})

Behandle

x

als Konstante

Wende die Kettenregel an:

7 (2 x + 3 y)^{6} \frac{\partial}{\partial y} (2 x + 3 y)

= 7 (2 x + 3 y)^{6} \frac{\partial}{\partial y} (2 x + 3 y)

\frac{\partial}{\partial y} (2 x + 3 y) = 3

= 7 (2 x + 3 y)^{6} \cdot 3

Vereinfache

= 21 (2 x + 3 y)^{6}

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