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Beliebt Rechnen >

derivative x^2+3x+1/(x^2)

Lösung

ableitung von

x^{2} + 3 x + \frac{1}{x ^{2}}

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 x) = 3

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

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

Graph

Beliebte Beispiele

integral of (arcsin(4x))/(sqrt(1-16x^2))

\int \frac{arcsin ( 4 x )}{1 - 16 x ^{2}} d x

d/(d{r)}(sqrt({r)}+\sqrt[7]{{r}})

\frac{d}{d r} (r + 7 r)

tangent (x^2)/(7+sqrt(x))

t an g e n t \frac{x ^{2}}{7 + x}

derivative of x(3x+5^3)

\frac{d}{d x} (x (3 x + 5)^{3})

integral of x(3+x^2)^{10}

\int x (3 + x^{2})^{10} d x