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Beliebt Rechnen >

derivative of (sin(3x)^3)

Lösung

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

Lösung

9 sin^{2} (3 x) cos (3 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (sin (3 x))^{2} cos (3 x) \cdot 3

Vereinfache

= 9 sin^{2} (3 x) cos (3 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(-5xcos(x^2-5xy))

(d^2)/(dx)(y)+2(dy)/(dx)+y=0

(\partial)/(\partial x)(e^{-2z}ysin(x))

fläche cos(θ),0.5

derivative 153x^2-0.06x^3