derivative of-(32/(x^3)+4/(x^2))

Lösung

\frac{d}{d x} (- \frac{32}{x ^{3}} + \frac{4}{x ^{2}})

\frac{96}{x ^{4}} - \frac{8}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{32}{x ^{3}} + \frac{4}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{32}{x ^{3}}) + \frac{d}{d x} (\frac{4}{x ^{2}})

\frac{d}{d x} (\frac{32}{x ^{3}}) = - \frac{96}{x ^{4}}

\frac{d}{d x} (\frac{4}{x ^{2}}) = - \frac{8}{x ^{3}}

= - (- \frac{96}{x ^{4}}) - \frac{8}{x ^{3}}

Vereinfache

= \frac{96}{x ^{4}} - \frac{8}{x ^{3}}

\int_{2}^{4} \frac{x ^{2} + 1}{x ^{2} - 5} d x

\int x^{3} cos (x^{2}) d x

\int x x - 9 d x

t an g e n t 3 x y^{3} + 4 x y = 28, (4, 1)

x \to 2 lim (3 x^{2} - x - 10)