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Beliebt Rechnen >

d/(dt)((t^4-2t)^2-5)

Lösung

\frac{d}{d t} ((t^{4} - 2 t)^{2} - 5)

Lösung

2 (4 t^{3} - 2) (t^{4} - 2 t)

Schritte zur Lösung

\frac{d}{d t} ((t^{4} - 2 t)^{2} - 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} ((t^{4} - 2 t)^{2}) - \frac{d}{d t} (5)

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

\frac{d}{d t} (5) = 0

= 2 (t^{4} - 2 t) (4 t^{3} - 2) - 0

Vereinfache

= 2 (4 t^{3} - 2) (t^{4} - 2 t)

Graph

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