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

Lösung

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

- \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}}

\frac{\partial}{\partial t} (sech^{2} (x - t))

\int 6 x^{4} e^{x^{5}} d x

\frac{d}{d x} ((2 x^{2} - 2 x) l e f (x, t) t (x^{2} - 3))

d er i v a t i v e f (x) = (2 + 5 x)^{2}

x \to 0 + lim (\frac{1}{x} - \frac{1}{x ^{2} + x})