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Beliebt Rechnen >

derivative cos(t)+t^2sin(t)

Lösung

ableitung von

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

Lösung

- sin (t) + 2 t sin (t) + cos (t) t^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (t) + 2 t sin (t) + cos (t) t^{2}

Graph

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