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Beliebt Rechnen >

derivative 5sec(8x)

Lösung

ableitung von

5 sec (8 x)

Lösung

40 sec (8 x) tan (8 x)

Schritte zur Lösung

\frac{d}{d x} (5 sec (8 x))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (sec (8 x))

Wende die Kettenregel an:

sec (8 x) tan (8 x) \frac{d}{d x} (8 x)

= sec (8 x) tan (8 x) \frac{d}{d x} (8 x)

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

= 5 sec (8 x) tan (8 x) \cdot 8

Vereinfache

= 40 sec (8 x) tan (8 x)

Graph

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