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Beliebt Rechnen >

derivative of-3sin(2x-6cos(x))

Lösung

\frac{d}{d x} (- 3 sin (2 x) - 6 cos (x))

Lösung

- 6 cos (2 x) + 6 sin (x)

Schritte zur Lösung

\frac{d}{d x} (- 3 sin (2 x) - 6 cos (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (3 sin (2 x)) - \frac{d}{d x} (6 cos (x))

\frac{d}{d x} (3 sin (2 x)) = 6 cos (2 x)

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

= - 6 cos (2 x) - (- 6 sin (x))

Vereinfache

= - 6 cos (2 x) + 6 sin (x)

Graph

Beliebte Beispiele

derivative of (8x/(x^2+4))

\frac{d}{d x} (\frac{8 x}{x ^{2} + 4})

integral of (3t^2-4t-4)

\int (3 t^{2} - 4 t - 4) d t

integral from 0 to 3 of te^{-t}

\int_{0}^{3} t e^{- t} d t

fläche y^2=4x,4x-3y=4

a re a y^{2} = 4 x, 4 x - 3 y = 4

integral from 1 to 5 of x/(sqrt(2x-1))

\int_{1}^{5} \frac{x}{2 x - 1} d x