derivative 2+2/x+6/(x^2)

Lösung

ableitung von

2 + \frac{2}{x} + \frac{6}{x ^{2}}

- \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (2 + \frac{2}{x} + \frac{6}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (\frac{2}{x}) + \frac{d}{d x} (\frac{6}{x ^{2}})

\frac{d}{d x} (2) = 0

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

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

= 0 - \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

Vereinfache

= - \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

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

\int \frac{x ^{4} + x ^{- 4} + 2}{x ^{3}} d x

t an g e n t 4 x + 84

d er i v a t i v e arcsec (6 x)

\frac{\partial}{\partial x} (e^{x} g)