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Beliebt Rechnen >

d/(dt)(t^2sin(wt))

Lösung

\frac{d}{d t} (t^{2} sin (wt))

Lösung

2 t sin (wt) + cos (wt) w t^{2}

Schritte zur Lösung

\frac{d}{d t} (t^{2} sin (wt))

Behandle

w

als Konstante

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t^{2}, g = sin (wt)

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

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

\frac{d}{d t} (sin (wt)) = cos (wt) w

= 2 t sin (wt) + cos (wt) w t^{2}

Graph

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