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Beliebt Rechnen >

derivative of 2x-1/(x^2)

Lösung

\frac{d}{d x} (2 x - \frac{1}{x ^{2}})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (2 x - \frac{1}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{1}{x ^{2}})

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

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of xcot(x)csc(x)

\int x cot (x) csc (x) d x

derivative of ln((x^2+1/x))

\frac{d}{d x} (ln (\frac{x ^{2} + 1}{x}))

(\partial)/(\partial x)(750+6x-7y)

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a re a x^{2} - 3 x + 3, y = x

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\int_{1}^{4} (x - 1) - (x^{2} - 4 x + 3) d x