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Beliebt Rechnen >

derivative y=sin^2(4pit-5)

Lösung

ableitung von

y = sin^{2} (4 π t - 5)

Lösung

8 π sin (4 π t - 5) cos (4 π t - 5)

Schritte zur Lösung

\frac{d}{d t} (sin^{2} (4 π t - 5))

Wende die Kettenregel an:

2 sin (4 π t - 5) \frac{d}{d t} (sin (4 π t - 5))

= 2 sin (4 π t - 5) \frac{d}{d t} (sin (4 π t - 5))

\frac{d}{d t} (sin (4 π t - 5)) = cos (4 π t - 5) \cdot 4 π

= 2 sin (4 π t - 5) cos (4 π t - 5) \cdot 4 π

Vereinfache

= 8 π sin (4 π t - 5) cos (4 π t - 5)

Graph

Beliebte Beispiele

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