derivative of 1/(x^2+1/(x^6))

Lösung

\frac{d}{d x} (\frac{1}{x ^{2}} + \frac{1}{x ^{6}})

- \frac{2}{x ^{3}} - \frac{6}{x ^{7}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{2}} + \frac{1}{x ^{6}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{x ^{2}}) + \frac{d}{d x} (\frac{1}{x ^{6}})

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

\frac{d}{d x} (\frac{1}{x ^{6}}) = - \frac{6}{x ^{7}}

= - \frac{2}{x ^{3}} - \frac{6}{x ^{7}}

\frac{d}{d x} (\frac{3 x ^{4}}{5})

in v erse l a pl a ce \frac{s}{s ^{2} + 6 s + 10}

y^{^{''}} + 7 y^{^{'}} = 0, y (0) = - 5, y^{^{'}} (0) = - 21

\int 3 x e^{x} d x

\int \frac{1}{16 e ^{- 2 x} + e ^{2 x}} d x