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Beliebt Rechnen >

derivative of (-2sin(2x)/(sqrt(13)))

Lösung

\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

Lösung

- \frac{4}{13} cos (2 x)

Schritte zur Lösung

\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

Vereinfache

\frac{- 2 sin ( 2 x )}{13} : - \frac{2 sin ( 2 x )}{13}

= \frac{d}{d x} (- \frac{2 sin ( 2 x )}{13})

Entferne die Konstante:

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

= - \frac{2}{13} \frac{d}{d x} (sin (2 x))

Wende die Kettenregel an:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= - \frac{2}{13} cos (2 x) \cdot 2

Vereinfache

- \frac{2}{13} cos (2 x) \cdot 2 : - \frac{4}{13} cos (2 x)

= - \frac{4}{13} cos (2 x)

Graph

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