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Beliebt Rechnen >

derivative of (x^3/4+1/(3x))

Lösung

\frac{d}{d x} (\frac{x ^{3}}{4} + \frac{1}{3 x})

Lösung

\frac{3 x ^{2}}{4} - \frac{1}{3 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{4} + \frac{1}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{4}) + \frac{d}{d x} (\frac{1}{3 x})

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

\frac{d}{d x} (\frac{1}{3 x}) = - \frac{1}{3 x ^{2}}

= \frac{3 x ^{2}}{4} - \frac{1}{3 x ^{2}}

Graph

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