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Beliebt Rechnen >

derivative of axcos(3x+bxsin(3x))

Lösung

\frac{d}{d x} (a x cos (3 x) + b x sin (3 x))

Lösung

a (cos (3 x) - 3 x sin (3 x)) + b (sin (3 x) + 3 x cos (3 x))

Schritte zur Lösung

\frac{d}{d x} (a x cos (3 x) + b x sin (3 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a x cos (3 x)) + \frac{d}{d x} (b x sin (3 x))

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

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

= a (cos (3 x) - 3 x sin (3 x)) + b (sin (3 x) + 3 x cos (3 x))

Graph

Beliebte Beispiele

integral of 2/(t^2)

integral of (x^3-sin(x))

integral of 1/(cos^2(5x))

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