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Beliebt Rechnen >

derivative (4/5 x)^4

Lösung

ableitung von

(\frac{4}{5} x)^{4}

Lösung

\frac{1024 x ^{3}}{625}

Schritte zur Lösung

\frac{d}{d x} ((\frac{4}{5} x)^{4})

Wende die Kettenregel an:

4 (\frac{4}{5} x)^{3} \frac{d}{d x} (\frac{4}{5} x)

= 4 (\frac{4}{5} x)^{3} \frac{d}{d x} (\frac{4}{5} x)

\frac{d}{d x} (\frac{4}{5} x) = \frac{4}{5}

= 4 (\frac{4}{5} x)^{3} \frac{4}{5}

Vereinfache

4 (\frac{4}{5} x)^{3} \frac{4}{5} : \frac{1024 x ^{3}}{625}

= \frac{1024 x ^{3}}{625}

Graph

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