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Beliebt Rechnen >

derivative of 500sqrt(x)-0.5x-500

Lösung

\frac{d}{d x} (500 x - 0.5 x - 500)

Lösung

\frac{250}{x} - 0.5

Schritte zur Lösung

\frac{d}{d x} (500 x - 0.5 x - 500)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (500 x) - \frac{d}{d x} (0.5 x) - \frac{d}{d x} (500)

\frac{d}{d x} (500 x) = \frac{250}{x}

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

\frac{d}{d x} (500) = 0

= \frac{250}{x} - 0.5 - 0

Vereinfache

= \frac{250}{x} - 0.5

Graph

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