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Beliebt Rechnen >

derivative (2/5 x)^9

Lösung

ableitung von

(\frac{2}{5} x)^{9}

Lösung

\frac{4608 x ^{8}}{1953125}

Schritte zur Lösung

\frac{d}{d x} ((\frac{2}{5} x)^{9})

Wende die Kettenregel an:

9 (\frac{2}{5} x)^{8} \frac{d}{d x} (\frac{2}{5} x)

= 9 (\frac{2}{5} x)^{8} \frac{d}{d x} (\frac{2}{5} x)

\frac{d}{d x} (\frac{2}{5} x) = \frac{2}{5}

= 9 (\frac{2}{5} x)^{8} \frac{2}{5}

Vereinfache

9 (\frac{2}{5} x)^{8} \frac{2}{5} : \frac{4608 x ^{8}}{1953125}

= \frac{4608 x ^{8}}{1953125}

Graph

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