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Beliebt Rechnen >

derivative (5t^2)/2+t+6

Lösung

ableitung von

\frac{5 t ^{2}}{2} + t + 6

Lösung

5 t + 1

Schritte zur Lösung

\frac{d}{d t} (\frac{5 t ^{2}}{2} + t + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (\frac{5 t ^{2}}{2}) + \frac{d t}{d t} + \frac{d}{d t} (6)

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

\frac{d t}{d t} = 1

\frac{d}{d t} (6) = 0

= 5 t + 1 + 0

Vereinfache

= 5 t + 1

Graph

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