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

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

\int (3 x + \frac{1}{x}) d x

t an g e n t f (x) = \frac{x}{1 + x ^{2}}, (2, 0.4)

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

\int \frac{361}{x ^{3} - 19 x ^{2}} d x

\frac{d}{d x} (\frac{1}{20} e^{x} + x^{6} - x^{e} + e)