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Beliebt Rechnen >

derivative x^4+6x^2-x

Lösung

ableitung von

x^{4} + 6 x^{2} - x

Lösung

4 x^{3} + 12 x - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d x}{d x} = 1

= 4 x^{3} + 12 x - 1

Graph

Beliebte Beispiele

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4 x y^{^{'}} - 20 y = x^{- 5}

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