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Beliebt Rechnen >

derivative of sin^3(cos(2x))

Lösung

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

Lösung

- 6 sin^{2} (cos (2 x)) cos (cos (2 x)) sin (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (cos (2 x))) = - 2 cos (cos (2 x)) sin (2 x)

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

Vereinfache

= - 6 sin^{2} (cos (2 x)) cos (cos (2 x)) sin (2 x)

Graph

Beliebte Beispiele

integral of 1/(25+x^2)

\int \frac{1}{25 + x ^{2}} d x

(1 + y) d y = 2 t d t

integral of (x^2)/(sqrt(16-x^2))

\int \frac{x ^{2}}{16 - x ^{2}} d x

derivative \sqrt[3]{1+x}

d er i v a t i v e 3 1 + x

derivative sqrt(x)+sqrt(y)

d er i v a t i v e x + y