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Beliebt Rechnen >

d/(dt)(at^5-5bt^3)

Lösung

\frac{d}{d t} (a t^{5} - 5 b t^{3})

Lösung

5 a t^{4} - 15 b t^{2}

Schritte zur Lösung

\frac{d}{d t} (a t^{5} - 5 b t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (a t^{5}) - \frac{d}{d t} (5 b t^{3})

\frac{d}{d t} (a t^{5}) = 5 a t^{4}

\frac{d}{d t} (5 b t^{3}) = 15 b t^{2}

= 5 a t^{4} - 15 b t^{2}

Graph

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