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Beliebt Rechnen >

derivative of (x^2-6e^{8x})

Lösung

\frac{d}{d x} ((x^{2} - 6) e^{8 x})

Lösung

2 x e^{8 x} + e^{8 x} \cdot 8 (x^{2} - 6)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 6) e^{8 x})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2} - 6, g = e^{8 x}

= \frac{d}{d x} (x^{2} - 6) e^{8 x} + \frac{d}{d x} (e^{8 x}) (x^{2} - 6)

\frac{d}{d x} (x^{2} - 6) = 2 x

\frac{d}{d x} (e^{8 x}) = e^{8 x} \cdot 8

= 2 x e^{8 x} + e^{8 x} \cdot 8 (x^{2} - 6)

Graph

Beliebte Beispiele

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