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Beliebt Rechnen >

derivative of (2sqrt(2)/3 x^{3/2})

Lösung

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

Lösung

2 x^{\frac{1}{2}}

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

= 2 x^{\frac{1}{2}}

Graph

Beliebte Beispiele

y^{^{'}} = y - t^{2} + 1

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n = 4 \sum \infty \frac{7 ^{n}}{1 4 ^{n}}

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\frac{d}{d x} ((x^{2} + 3) (x^{2} - 2)^{8})

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