derivative of 2/(cos(7x))

解

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

14 sec (7 x) tan (7 x)

解答ステップ

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

簡素化

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

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

定数を除去:

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

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

連鎖法則を適用:

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

簡素化

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