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Beliebt Rechnen >

(\partial)/(\partial x)((3x+2y)^5)

Lösung

\frac{\partial}{\partial x} ((3 x + 2 y)^{5})

Lösung

15 (3 x + 2 y)^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} ((3 x + 2 y)^{5})

Behandle

y

als Konstante

Wende die Kettenregel an:

5 (3 x + 2 y)^{4} \frac{\partial}{\partial x} (3 x + 2 y)

= 5 (3 x + 2 y)^{4} \frac{\partial}{\partial x} (3 x + 2 y)

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

= 5 (3 x + 2 y)^{4} \cdot 3

Vereinfache

= 15 (3 x + 2 y)^{4}

Beliebte Beispiele

limit as x approaches 4 of 1/(x-4)

x \to 4 lim (\frac{1}{x - 4})

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