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Beliebt Rechnen >

derivative sin^3(3x)

Lösung

ableitung von

sin^{3} (3 x)

Lösung

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

Schritte zur Lösung

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

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

derivative of (x^2+1/(x^2-3))

\frac{d}{d x} (\frac{x ^{2} + 1}{x ^{2} - 3})

derivative f(x)=cos^3(x)

d er i v a t i v e f (x) = cos^{3} (x)

vereinfachen ln(1/x)

s im pl i f y ln (\frac{1}{x})

integral of e^{3x+2}

\int e^{3 x + 2} d x

derivative of e^{x^2+3}

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