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Beliebt Rechnen >

derivative y=sin^2(3x+4)

Lösung

ableitung von

y = sin^{2} (3 x + 4)

Lösung

6 sin (3 x + 4) cos (3 x + 4)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (3 x + 4))

Wende die Kettenregel an:

2 sin (3 x + 4) \frac{d}{d x} (sin (3 x + 4))

= 2 sin (3 x + 4) \frac{d}{d x} (sin (3 x + 4))

\frac{d}{d x} (sin (3 x + 4)) = cos (3 x + 4) \cdot 3

= 2 sin (3 x + 4) cos (3 x + 4) \cdot 3

Vereinfache

= 6 sin (3 x + 4) cos (3 x + 4)

Graph

Beliebte Beispiele

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