derivative (x-6)^{8/9}

Lösung

ableitung von

(x - 6)^{\frac{8}{9}}

\frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}}

Schritte zur Lösung

\frac{d}{d x} ((x - 6)^{\frac{8}{9}})

Wende die Kettenregel an:

\frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \frac{d}{d x} (x - 6)

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \frac{d}{d x} (x - 6)

\frac{d}{d x} (x - 6) = 1

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \cdot 1

Vereinfache

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}}

d er i v a t i v e y = \frac{1 - cos ( x )}{sin ( x )}

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