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Beliebt Rechnen >

derivative of 12cos(3x)

Lösung

\frac{d}{d x} (12 cos (3 x))

Lösung

- 36 sin (3 x)

Schritte zur Lösung

\frac{d}{d x} (12 cos (3 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 12 \frac{d}{d x} (cos (3 x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x) = 3

= 12 (- sin (3 x) \cdot 3)

Vereinfache

= - 36 sin (3 x)

Graph

Beliebte Beispiele

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\frac{d}{d x} ((a - b x)^{2})

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