derivative 1/7 sin(7x)

解

導関数

\frac{1}{7} sin (7 x)

cos (7 x)

解答ステップ

\frac{d}{d x} (\frac{1}{7} sin (7 x))

定数を除去:

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

= \frac{1}{7} \frac{d}{d x} (sin (7 x))

連鎖法則を適用:

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

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

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

= \frac{1}{7} cos (7 x) \cdot 7

簡素化

\frac{1}{7} cos (7 x) \cdot 7 : cos (7 x)

= cos (7 x)