derivative of 1/(x^3-2/(x^2))

Lösung

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

- \frac{3}{x ^{4}} + \frac{4}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3}{x ^{4}}

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

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

Vereinfache

= - \frac{3}{x ^{4}} + \frac{4}{x ^{3}}

d er i v a t i v e (x^{4} + 7 x^{2} - 3)^{4}

t an g e n t f (x) = \frac{5}{x ^{2}}, at x = 1

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

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

\int_{- 1}^{1} (x^{3} - 9 x) d x