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Beliebt Rechnen >

derivative of 5x^{0.5}

Lösung

\frac{d}{d x} (5 x^{0.5})

Lösung

\frac{2.5}{x ^{0.5}}

Schritte zur Lösung

\frac{d}{d x} (5 x^{0.5})

Entferne die Konstante:

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

= 5 \frac{d}{d x} (x^{0.5})

Wende die Potenzregel an:

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

= 5 \cdot 0.5 x^{0.5 - 1}

Vereinfache

5 \cdot 0.5 x^{0.5 - 1} : \frac{2.5}{x ^{0.5}}

= \frac{2.5}{x ^{0.5}}

Graph

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