derivative \sqrt[7]{t}

Lösung

ableitung von

7 t

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

Schritte zur Lösung

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

Wende Radikal Regel an:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

d er i v a t i v e 3 \frac{2 x + 3}{3 x - 5}

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