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Beliebt Rechnen >

derivative (3/4 x)^4

Lösung

ableitung von

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

Lösung

\frac{81 x ^{3}}{64}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

4 (\frac{3}{4} x)^{3} \frac{3}{4} : \frac{81 x ^{3}}{64}

= \frac{81 x ^{3}}{64}

Graph

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