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Beliebt Rechnen >

derivative x^4+2e^x

Lösung

ableitung von

x^{4} + 2 e^{x}

Lösung

4 x^{3} + 2 e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + 2 e^{x}

Graph

Beliebte Beispiele

integral of 6xsin(x)

\int 6 x sin (x) d x

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\frac{d}{d x} (4 x^{3} + 3 x^{2} - 6 x)

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\int_{- 3}^{0} (9 - x^{2}) d x