derivative-2x^4+7xe^{3x-2}

Lösung

ableitung von

- 2 x^{4} + 7 x e^{3 x - 2}

- 8 x^{3} + 7 (e^{3 x - 2} + 3 e^{3 x - 2} x)

Schritte zur Lösung

\frac{d}{d x} (- 2 x^{4} + 7 x e^{3 x - 2})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (2 x^{4}) + \frac{d}{d x} (7 x e^{3 x - 2})

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

\frac{d}{d x} (7 x e^{3 x - 2}) = 7 (e^{3 x - 2} + 3 e^{3 x - 2} x)

= - 8 x^{3} + 7 (e^{3 x - 2} + 3 e^{3 x - 2} x)

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