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Beliebt Rechnen >

derivative of 1/4 x^3-2x

Lösung

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

Lösung

\frac{3 x ^{2}}{4} - 2

Schritte zur Lösung

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

Vereinfache

\frac{1}{4} x^{3} - 2 x : \frac{x ^{3}}{4} - 2 x

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= \frac{3 x ^{2}}{4} - 2

Graph

Beliebte Beispiele

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