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Beliebt Rechnen >

derivative of 3x^2-1/(x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

= 6 x - (- \frac{2}{x ^{3}})

Vereinfache

= 6 x + \frac{2}{x ^{3}}

Graph

Beliebte Beispiele

16y^{''}+8y^'+y=0

16 y^{^{''}} + 8 y^{^{'}} + y = 0

integral from 1 to infinity of xe^{-10x}

\int_{1}^{\infty} x e^{- 10 x} d x

limit as x approaches 0 of (x+1)/(5x)

x \to 0 lim (\frac{x + 1}{5 x})

fläche x^2-2,7

a re a x^{2} - 2, 7

(d^2)/(dx^2)(arccos(3x))

\frac{d ^{2}}{d x ^{2}} (arccos (3 x))