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Beliebt Rechnen >

derivative of (xe^{2x}+x^3^6)

Lösung

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

Lösung

6 (x e^{2 x} + x^{3})^{5} (e^{2 x} + 2 e^{2 x} x + 3 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((x e^{2 x} + x^{3})^{6})

Wende die Kettenregel an:

6 (x e^{2 x} + x^{3})^{5} \frac{d}{d x} (x e^{2 x} + x^{3})

= 6 (x e^{2 x} + x^{3})^{5} \frac{d}{d x} (x e^{2 x} + x^{3})

\frac{d}{d x} (x e^{2 x} + x^{3}) = e^{2 x} + 2 e^{2 x} x + 3 x^{2}

= 6 (x e^{2 x} + x^{3})^{5} (e^{2 x} + 2 e^{2 x} x + 3 x^{2})

Graph

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