derivative of-a^2sin(ax)

解

\frac{d}{d x} (- a^{2} sin (a x))

- a^{3} cos (a x)

解答ステップ

\frac{d}{d x} (- a^{2} sin (a x))

定数を除去:

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

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

連鎖法則を適用:

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

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

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

= - a^{2} cos (a x) a

簡素化

- a^{2} cos (a x) a : - a^{3} cos (a x)

= - a^{3} cos (a x)