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Beliebt Rechnen >

derivative of 2/(cos(7x))

Lösung

\frac{d}{d x} (\frac{2}{cos ( 7 x )})

Lösung

14 sec (7 x) tan (7 x)

Schritte zur Lösung

\frac{d}{d x} (\frac{2}{cos ( 7 x )})

Vereinfache

\frac{2}{cos ( 7 x )} : 2 sec (7 x)

= \frac{d}{d x} (2 sec (7 x))

Entferne die Konstante:

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

= 2 \frac{d}{d x} (sec (7 x))

Wende die Kettenregel an:

sec (7 x) tan (7 x) \frac{d}{d x} (7 x)

= sec (7 x) tan (7 x) \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= 2 sec (7 x) tan (7 x) \cdot 7

Vereinfache

= 14 sec (7 x) tan (7 x)

Graph

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