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Beliebt Rechnen >

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

Lösung

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

Lösung

sin (2 t)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 sin (t) cos (t)

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= sin (2 t)

Graph

Beliebte Beispiele

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derivative of-(x^2/2+5x+3)

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