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Beliebt Rechnen >

derivative f(x)=2x^3-5x^4

Lösung

ableitung von

f (x) = 2 x^{3} - 5 x^{4}

Lösung

6 x^{2} - 20 x^{3}

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 5 x^{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= 6 x^{2} - 20 x^{3}

Graph

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