derivative x^{12/7}

Lösung

ableitung von

x^{\frac{12}{7}}

\frac{12 x ^{\frac{5}{7}}}{7}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{12}{7}})

Wende die Potenzregel an:

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

= \frac{12}{7} x^{\frac{12}{7} - 1}

Vereinfache

\frac{12}{7} x^{\frac{12}{7} - 1} : \frac{12 x ^{\frac{5}{7}}}{7}

= \frac{12 x ^{\frac{5}{7}}}{7}

d er i v a t i v e (\frac{x}{7} + 1)^{\frac{3}{2}}

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