derivative of-1/64 sin(x/8)

Lösung

\frac{d}{d x} (- \frac{1}{64} sin (\frac{x}{8}))

- \frac{1}{512} cos (\frac{x}{8})

Schritte zur Lösung

\frac{d}{d x} (- \frac{1}{64} sin (\frac{x}{8}))

Entferne die Konstante:

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

= - \frac{1}{64} \frac{d}{d x} (sin (\frac{x}{8}))

Wende die Kettenregel an:

cos (\frac{x}{8}) \frac{d}{d x} (\frac{x}{8})

= cos (\frac{x}{8}) \frac{d}{d x} (\frac{x}{8})

\frac{d}{d x} (\frac{x}{8}) = \frac{1}{8}

= - \frac{1}{64} cos (\frac{x}{8}) \frac{1}{8}

Vereinfache

- \frac{1}{64} cos (\frac{x}{8}) \frac{1}{8} : - \frac{1}{512} cos (\frac{x}{8})

= - \frac{1}{512} cos (\frac{x}{8})

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