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Beliebt Rechnen >

derivative of (-x^2/4)

Lösung

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

Lösung

- \frac{x}{2}

Schritte zur Lösung

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

Vereinfache

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

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{4} \cdot 2 x^{2 - 1}

Vereinfache

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

= - \frac{x}{2}

Graph

Beliebte Beispiele

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integral of-1/(2x+1)

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\int_{b}^{a} f (x) d x