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Beliebt Rechnen >

(\partial)/(\partial x)((1+x^3)^{2020})

Lösung

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

Lösung

6060 x^{2} (1 + x^{3})^{2019}

Schritte zur Lösung

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

Wende die Kettenregel an:

2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

= 2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

\frac{\partial}{\partial x} (1 + x^{3}) = 3 x^{2}

= 2020 (1 + x^{3})^{2019} \cdot 3 x^{2}

Vereinfache

= 6060 x^{2} (1 + x^{3})^{2019}

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