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Beliebt Rechnen >

derivative \sqrt[3]{x}+6sqrt(x^3)

Lösung

ableitung von

3 x + 6 x^{3}

Lösung

\frac{1}{3 x ^{\frac{2}{3}}} + 9 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (6 x^{3}) = 9 x

= \frac{1}{3 x ^{\frac{2}{3}}} + 9 x

Graph

Beliebte Beispiele

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\frac{d}{d x} (2^{x + 1})

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