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Beliebt Rechnen >

derivative s(t)=t^3-5t+8

Lösung

ableitung von

s (t) = t^{3} - 5 t + 8

Lösung

3 t^{2} - 5

Schritte zur Lösung

\frac{d}{d t} (t^{3} - 5 t + 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (5 t) + \frac{d}{d t} (8)

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

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

\frac{d}{d t} (8) = 0

= 3 t^{2} - 5 + 0

Vereinfache

= 3 t^{2} - 5

Graph

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