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Beliebt Rechnen >

derivative t^2+2sqrt(t)+50

Lösung

ableitung von

t^{2} + 2 t + 50

Lösung

2 t + \frac{1}{t}

Schritte zur Lösung

\frac{d}{d t} (t^{2} + 2 t + 50)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{2}) + \frac{d}{d t} (2 t) + \frac{d}{d t} (50)

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

\frac{d}{d t} (2 t) = \frac{1}{t}

\frac{d}{d t} (50) = 0

= 2 t + \frac{1}{t} + 0

Vereinfache

= 2 t + \frac{1}{t}

Graph

Beliebte Beispiele

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