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Beliebt Rechnen >

derivative of e^x(2x^4-1)

Lösung

\frac{d}{d x} (e^{x} (2 x^{4} - 1))

Lösung

e^{x} (2 x^{4} - 1) + 8 x^{3} e^{x}

Schritte zur Lösung

\frac{d}{d x} (e^{x} (2 x^{4} - 1))

Wende die Produktregel an:

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

f = e^{x}, g = 2 x^{4} - 1

= \frac{d}{d x} (e^{x}) (2 x^{4} - 1) + \frac{d}{d x} (2 x^{4} - 1) e^{x}

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

\frac{d}{d x} (2 x^{4} - 1) = 8 x^{3}

= e^{x} (2 x^{4} - 1) + 8 x^{3} e^{x}

Graph

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