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Beliebt Rechnen >

derivative 5cos(x-16/25)

Lösung

ableitung von

5 cos (x - \frac{16}{25})

Lösung

- 5 sin (x - \frac{16}{25})

Schritte zur Lösung

\frac{d}{d x} (5 cos (x - \frac{16}{25}))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (cos (x - \frac{16}{25}))

Wende die Kettenregel an:

- sin (x - \frac{16}{25}) \frac{d}{d x} (x - \frac{16}{25})

= - sin (x - \frac{16}{25}) \frac{d}{d x} (x - \frac{16}{25})

\frac{d}{d x} (x - \frac{16}{25}) = 1

= 5 (- sin (x - \frac{16}{25}) \cdot 1)

Vereinfache

= - 5 sin (x - \frac{16}{25})

Graph

Beliebte Beispiele

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\int x^{3} cos (\frac{x}{2}) d x

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