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Beliebt Rechnen >

derivative of x^3-5/x+4

Lösung

\frac{d}{d x} (x^{3} - \frac{5}{x} + 4)

Lösung

3 x^{2} + \frac{5}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x^{3} - \frac{5}{x} + 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (\frac{5}{x}) + \frac{d}{d x} (4)

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

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

\frac{d}{d x} (4) = 0

= 3 x^{2} - (- \frac{5}{x ^{2}}) + 0

Vereinfache

= 3 x^{2} + \frac{5}{x ^{2}}

Graph

Beliebte Beispiele

integral of 2/(3\sqrt[3]{t)}-3/(1+t^2)

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