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Beliebt Rechnen >

derivative f(x)=\sqrt[7]{x}

Lösung

ableitung von

f (x) = 7 x

Lösung

\frac{1}{7 x ^{\frac{6}{7}}}

Schritte zur Lösung

\frac{d}{d x} (7 x)

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

= \frac{d}{d x} (x^{\frac{1}{7}})

Wende die Potenzregel an:

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

= \frac{1}{7} x^{\frac{1}{7} - 1}

Vereinfache

\frac{1}{7} x^{\frac{1}{7} - 1} : \frac{1}{7 x ^{\frac{6}{7}}}

= \frac{1}{7 x ^{\frac{6}{7}}}

Graph

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