derivative 6sin^2(t)

Lösung

ableitung von

6 sin^{2} (t)

6 sin (2 t)

Schritte zur Lösung

\frac{d}{d t} (6 sin^{2} (t))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \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)

= 6 \cdot 2 sin (t) cos (t)

Vereinfache

6 \cdot 2 sin (t) cos (t) : 6 sin (2 t)

= 6 sin (2 t)

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