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Beliebt Rechnen >

(\partial)/(\partial y)((2x+3y)^{10})

Lösung

\frac{\partial}{\partial y} ((2 x + 3 y)^{10})

Lösung

30 (2 x + 3 y)^{9}

Schritte zur Lösung

\frac{\partial}{\partial y} ((2 x + 3 y)^{10})

Behandle

x

als Konstante

Wende die Kettenregel an:

10 (2 x + 3 y)^{9} \frac{\partial}{\partial y} (2 x + 3 y)

= 10 (2 x + 3 y)^{9} \frac{\partial}{\partial y} (2 x + 3 y)

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

= 10 (2 x + 3 y)^{9} \cdot 3

Vereinfache

= 30 (2 x + 3 y)^{9}

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