derivative of 2/(x^3+5/(x^2))

Lösung

\frac{d}{d x} (\frac{2}{x ^{3}} + \frac{5}{x ^{2}})

- \frac{6}{x ^{4}} - \frac{10}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{2}{x ^{3}} + \frac{5}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{2}{x ^{3}}) + \frac{d}{d x} (\frac{5}{x ^{2}})

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

\frac{d}{d x} (\frac{5}{x ^{2}}) = - \frac{10}{x ^{3}}

= - \frac{6}{x ^{4}} - \frac{10}{x ^{3}}

\int x 4 x - 1 d x

d er i v a t i v e \frac{e ^{x}}{x ^{2} + 14}

\int_{1}^{2} \frac{7}{x ^{3} + 4 x} d x

\frac{\partial}{\partial y} (sin (y) - y sin (x))

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