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Beliebt Rechnen >

derivative of 2/(\sqrt[3]{x}+3cos(x))

Lösung

\frac{d}{d x} (\frac{2}{3 x} + 3 cos (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{2}{3 x} + 3 cos (x))

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

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

Graph

Beliebte Beispiele

integral from 0 to 1 of (26)/(4y-1)

\int_{0}^{1} \frac{26}{4 y - 1} d y

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\int x^{5} 12 + x^{6} d x

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\int x^{9} d x

fläche x^3,x,-1,1

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