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Beliebt Rechnen >

derivative f(x)= 1/x+1/(x^2)

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Graph

Beliebte Beispiele

derivative ((5x^5-3x^2+1))/x

d er i v a t i v e \frac{( 5 x ^{5} - 3 x ^{2} + 1 )}{x}

integral of 1/(12(x^2+1))

\int \frac{1}{12 ( x ^{2} + 1 )} d x

limit as x approaches 3+of x/(x-3)

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(1+x)y^'-xy=x+x^2

(1 + x) y^{^{'}} - x y = x + x^{2}

(\partial)/(\partial y)(x^2e^{y^2})

\frac{\partial}{\partial y} (x^{2} e^{y^{2}})