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Beliebt Rechnen >

derivative 2x-((250)/(x^2))

Lösung

ableitung von

2 x - (\frac{250}{x ^{2}})

Lösung

2 + \frac{500}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (2 x - \frac{250}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{250}{x ^{2}})

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

\frac{d}{d x} (\frac{250}{x ^{2}}) = - \frac{500}{x ^{3}}

= 2 - (- \frac{500}{x ^{3}})

Vereinfache

= 2 + \frac{500}{x ^{3}}

Graph

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