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Beliebt Rechnen >

d/(dt)(\sqrt[3]{t}+6sqrt(t^3))

Lösung

\frac{d}{d t} (3 t + 6 t^{3})

Lösung

\frac{1}{3 t ^{\frac{2}{3}}} + 9 t

Schritte zur Lösung

\frac{d}{d t} (3 t + 6 t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3 t) + \frac{d}{d t} (6 t^{3})

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

\frac{d}{d t} (6 t^{3}) = 9 t

= \frac{1}{3 t ^{\frac{2}{3}}} + 9 t

Graph

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