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Beliebt Rechnen >

derivative f(x)=(x/2)^4

Lösung

ableitung von

f (x) = (\frac{x}{2})^{4}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

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

Vereinfache

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

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

Graph

Beliebte Beispiele

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