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Beliebt Rechnen >

derivative P(t)=0.45t^2-12t+105

Lösung

ableitung von

P (t) = 0.45 t^{2} - 12 t + 105

Lösung

0.9 t - 12

Schritte zur Lösung

\frac{d}{d t} (0.45 t^{2} - 12 t + 105)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (0.45 t^{2}) - \frac{d}{d t} (12 t) + \frac{d}{d t} (105)

\frac{d}{d t} (0.45 t^{2}) = 0.9 t

\frac{d}{d t} (12 t) = 12

\frac{d}{d t} (105) = 0

= 0.9 t - 12 + 0

Vereinfache

= 0.9 t - 12

Graph

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