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Beliebt Rechnen >

derivative of x^8e^{4x}

Lösung

\frac{d}{d x} (x^{8} e^{4 x})

Lösung

8 x^{7} e^{4 x} + e^{4 x} \cdot 4 x^{8}

Schritte zur Lösung

\frac{d}{d x} (x^{8} e^{4 x})

Wende die Produktregel an:

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

f = x^{8}, g = e^{4 x}

= \frac{d}{d x} (x^{8}) e^{4 x} + \frac{d}{d x} (e^{4 x}) x^{8}

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

= 8 x^{7} e^{4 x} + e^{4 x} \cdot 4 x^{8}

Graph

Beliebte Beispiele

derivative of cos(0)

\frac{d}{d x} (cos (0))

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derivative of (6x/(5-tan(x)))

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y^{''}-3y^'+2=e^t

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