derivative 9(x-4)^{2/3}

Lösung

ableitung von

9 (x - 4)^{\frac{2}{3}}

\frac{6}{( x - 4 ) ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d}{d x} (9 (x - 4)^{\frac{2}{3}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} ((x - 4)^{\frac{2}{3}})

Wende die Kettenregel an:

\frac{2}{3 ( x - 4 ) ^{\frac{1}{3}}} \frac{d}{d x} (x - 4)

= \frac{2}{3 ( x - 4 ) ^{\frac{1}{3}}} \frac{d}{d x} (x - 4)

\frac{d}{d x} (x - 4) = 1

= 9 \cdot \frac{2}{3 ( x - 4 ) ^{\frac{1}{3}}} \cdot 1

Vereinfache

9 \cdot \frac{2}{3 ( x - 4 ) ^{\frac{1}{3}}} \cdot 1 : \frac{6}{( x - 4 ) ^{\frac{1}{3}}}

= \frac{6}{( x - 4 ) ^{\frac{1}{3}}}

\frac{d}{d x} (210)

\frac{d}{d x} (\frac{e ^{- x^{2}}}{x ^{3}})

d er i v a t i v e ln (6 - x^{2} + 2 x^{4})

\int_{1}^{\infty} \frac{7}{x ^{2} + 1} d x

d er i v a t i v e y = ((\frac{x ^{2} - 2}{2 x ^{2} + 1})^{2})