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

Lösung

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

- \frac{9}{x ^{4}} + \frac{8}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

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

= - \frac{9}{x ^{4}} - (- \frac{8}{x ^{3}})

Vereinfache

= - \frac{9}{x ^{4}} + \frac{8}{x ^{3}}

\frac{d}{d x} (x^{5} e^{7 x})

x \to 1 lim ((x - 1)^{3 x - 3})

x \to 2 lim (x 13 - x^{2})

\frac{d}{d x} (x cos (x^{3}))

\frac{d}{d x} (\frac{5 x ^{6}}{2} + \frac{12}{7 x ^{5}} - x)