derivative of (-2sin(2x)/(sqrt(13)))

解

\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

- \frac{4}{13} cos (2 x)

解答ステップ

\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

簡素化

\frac{- 2 sin ( 2 x )}{13} : - \frac{2 sin ( 2 x )}{13}

= \frac{d}{d x} (- \frac{2 sin ( 2 x )}{13})

定数を除去:

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

= - \frac{2}{13} \frac{d}{d x} (sin (2 x))

連鎖法則を適用:

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

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

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

= - \frac{2}{13} cos (2 x) \cdot 2

簡素化

- \frac{2}{13} cos (2 x) \cdot 2 : - \frac{4}{13} cos (2 x)

= - \frac{4}{13} cos (2 x)