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Beliebt Rechnen >

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

Lösung

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

Lösung

3 (x + 3 y)^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x + 3 y) = 1

= 3 (x + 3 y)^{2} \cdot 1

Vereinfache

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

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