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Beliebt Rechnen >

derivative f(x)=x-3x^{1/3}

Lösung

ableitung von

f (x) = x - 3 x^{\frac{1}{3}}

Lösung

1 - \frac{1}{x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x - 3 x^{\frac{1}{3}})

Wende die Summen-/Differenzregel an:

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

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

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

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

= 1 - \frac{1}{x ^{\frac{2}{3}}}

Graph

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