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Beliebt Rechnen >

derivative (sin(6x))^4

Lösung

ableitung von

(sin (6 x))^{4}

Lösung

24 sin^{3} (6 x) cos (6 x)

Schritte zur Lösung

\frac{d}{d x} ((sin (6 x))^{4})

Wende die Kettenregel an:

4 (sin (6 x))^{3} \frac{d}{d x} (sin (6 x))

= 4 (sin (6 x))^{3} \frac{d}{d x} (sin (6 x))

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= 4 (sin (6 x))^{3} cos (6 x) \cdot 6

Vereinfache

= 24 sin^{3} (6 x) cos (6 x)

Graph

Beliebte Beispiele

integral from 1 to e of x^3ln(x)

\int_{1}^{e} x^{3} ln (x) d x

derivative of x/(20)

\frac{d}{d x} (\frac{x}{20})

tangent y=7e^x+x,(0,7)

t an g e n t y = 7 e^{x} + x, (0, 7)

inverselaplace 4

in v erse l a pl a ce 4

integral from 0 to 6 of x^2-6x

\int_{0}^{6} x^{2} - 6 x d x