derivative 2/(x^3)-8/x

Lösung

ableitung von

\frac{2}{x ^{3}} - \frac{8}{x}

- \frac{6}{x ^{4}} + \frac{8}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{2}{x ^{3}} - \frac{8}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{2}{x ^{3}}) - \frac{d}{d x} (\frac{8}{x})

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= - \frac{6}{x ^{4}} - (- \frac{8}{x ^{2}})

Vereinfache

= - \frac{6}{x ^{4}} + \frac{8}{x ^{2}}

d er i v a t i v e y = (\frac{f ( x )}{g ( x )})^{2}

\int x^{4} e^{2 x} d x

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

\frac{\partial}{\partial x} (4 - 2 \cdot (3 x - y)^{2})

s l o p e y = - (- 6 x + 6)^{\frac{1}{2}}, x = - 5