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Beliebt Rechnen >

derivative of x^{9/10}

Lösung

\frac{d}{d x} (x^{\frac{9}{10}})

Lösung

\frac{9}{10 x ^{\frac{1}{10}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{9}{10}})

Wende die Potenzregel an:

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

= \frac{9}{10} x^{\frac{9}{10} - 1}

Vereinfache

\frac{9}{10} x^{\frac{9}{10} - 1} : \frac{9}{10 x ^{\frac{1}{10}}}

= \frac{9}{10 x ^{\frac{1}{10}}}

Graph

Beliebte Beispiele

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\frac{d P}{d t} + 2 tP = P + 4 t - 2

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\int cos^{5} (2 y) d y

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