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Beliebt Rechnen >

derivative of 2x^{3/4}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

Graph

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