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Beliebt Rechnen >

derivative of (sin(3x)^2)

Lösung

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

Lösung

3 sin (6 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

2 sin (3 x) cos (3 x) \cdot 3 : 3 sin (6 x)

= 3 sin (6 x)

Graph

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x \to 0 lim (\frac{9}{x})

(dy)/(dx)=-(1+x+y)/(1+x)

\frac{d y}{d x} = - \frac{1 + x + y}{1 + x}