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Beliebt Rechnen >

derivative of 524.8*x^{0.75}

Lösung

\frac{d}{d x} (524.8 \cdot x^{0.75})

Lösung

\frac{393.6}{x ^{0.25}}

Schritte zur Lösung

\frac{d}{d x} (524.8 x^{0.75})

Entferne die Konstante:

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

= 524.8 \frac{d}{d x} (x^{0.75})

Wende die Potenzregel an:

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

= 524.8 \cdot 0.75 x^{0.75 - 1}

Vereinfache

524.8 \cdot 0.75 x^{0.75 - 1} : \frac{393.6}{x ^{0.25}}

= \frac{393.6}{x ^{0.25}}

Graph

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