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

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

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

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

Vereinfache

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

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

n = 1 \sum \infty ln (n)

x \to b lim (7 (- 7))

\frac{d x}{d t} = \frac{1}{x e ^{t + 2 x}}

a \to 0 lim (ln (a))