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Beliebt Rechnen >

derivative of (x^3/(48)+4/x)

Lösung

\frac{d}{d x} (\frac{x ^{3}}{48} + \frac{4}{x})

Lösung

\frac{x ^{2}}{16} - \frac{4}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{48} + \frac{4}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{48}) + \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{x ^{3}}{48}) = \frac{x ^{2}}{16}

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

= \frac{x ^{2}}{16} - \frac{4}{x ^{2}}

Graph

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