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Beliebt Rechnen >

derivative of (4/5 x^3)

Lösung

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

Lösung

\frac{192 x ^{2}}{125}

Schritte zur Lösung

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

Wende die Kettenregel an:

3 (\frac{4}{5} x)^{2} \frac{d}{d x} (\frac{4}{5} x)

= 3 (\frac{4}{5} x)^{2} \frac{d}{d x} (\frac{4}{5} x)

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

= 3 (\frac{4}{5} x)^{2} \frac{4}{5}

Vereinfache

3 (\frac{4}{5} x)^{2} \frac{4}{5} : \frac{192 x ^{2}}{125}

= \frac{192 x ^{2}}{125}

Graph

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