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Beliebt Rechnen >

derivative of-ax-d/(x^2)

Lösung

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

Lösung

- a + \frac{2 d}{x ^{3}}

Schritte zur Lösung

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

Behandle

a, d

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= - a + \frac{2 d}{x ^{3}}

Graph

Beliebte Beispiele

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\int e^{- x} \cdot ln (x) d x

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\int_{1}^{2} x \cdot ln (x) d x

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