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Beliebt Rechnen >

(x^{1/3})^'

Lösung

(x^{\frac{1}{3}})^{^{'}}

Lösung

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

Schritte zur Lösung

(x^{\frac{1}{3}})^{'}

Wende die Potenzregel an:

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

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

Vereinfache

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

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

Graph

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y^'= x/(x-1),y(2)=5

y^{^{'}} = \frac{x}{x - 1}, y (2) = 5