derivative of 2/3 x^2

Lösung

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

\frac{4 x}{3}

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

= \frac{2}{3} \cdot 2 x^{2 - 1}

Vereinfache

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

= \frac{4 x}{3}

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