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Beliebt Rechnen >

d/(dt)(6t^2-8+40cos(pit))

Lösung

\frac{d}{d t} (6 t^{2} - 8 + 40 cos (π t))

Lösung

12 t - 40 π sin (π t)

Schritte zur Lösung

\frac{d}{d t} (6 t^{2} - 8 + 40 cos (π t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (6 t^{2}) - \frac{d}{d t} (8) + \frac{d}{d t} (40 cos (π t))

\frac{d}{d t} (6 t^{2}) = 12 t

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

\frac{d}{d t} (40 cos (π t)) = - 40 π sin (π t)

= 12 t - 0 - 40 π sin (π t)

Vereinfache

= 12 t - 40 π sin (π t)

Graph

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