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Beliebt Rechnen >

d/(dθ)(4sin(3θ))

Lösung

\frac{d}{d θ} (4 sin (3 θ))

Lösung

12 cos (3 θ)

Schritte zur Lösung

\frac{d}{d θ} (4 sin (3 θ))

Entferne die Konstante:

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

= 4 \frac{d}{d θ} (sin (3 θ))

Wende die Kettenregel an:

cos (3 θ) \frac{d}{d θ} (3 θ)

= cos (3 θ) \frac{d}{d θ} (3 θ)

\frac{d}{d θ} (3 θ) = 3

= 4 cos (3 θ) \cdot 3

Vereinfache

= 12 cos (3 θ)

Graph

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