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Beliebt Rechnen >

derivative of x^4+2/x

Lösung

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

Lösung

4 x^{3} - \frac{2}{x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} - \frac{2}{x ^{2}}

Graph

Beliebte Beispiele

derivative of 3x^2+2x+4

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

integral from 0 to 2 of 1/(x^{1/3)}

\int_{0}^{2} \frac{1}{x ^{\frac{1}{3}}} d x

(x^{3})^{^{'}}

f (x) = x - 3

integral of 2x^6

\int 2 x^{6} d x