derivative of 2/(x^3+c)

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d c}{d x} = 0

= - \frac{6}{x ^{4}} + 0

Vereinfache

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

\int_{3}^{6} \frac{1}{( 4 - x ) ^{2}} d x

in v erse l a pl a ce \frac{s ^{2} + 3}{2 s ^{2} + 5}

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

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{2} + 1})

\frac{d}{d x} (2 5 (x^{3} + 1)^{2})