derivative of (d/(dx(3x))^2)

解

\frac{d}{d x} ((\frac{d}{d x} (3 x))^{2})

0

解答ステップ

\frac{d}{d x} ((\frac{d}{d x} (3 x))^{2})

連鎖法則を適用:

2 \frac{d}{d x} (3 x) \frac{d}{d x} (\frac{d}{d x} (3 x))

= 2 \frac{d}{d x} (3 x) \frac{d}{d x} (\frac{d}{d x} (3 x))

\frac{d}{d x} (\frac{d}{d x} (3 x)) = 0

= 2 \frac{d}{d x} (3 x) 0

定数を除去:

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

= 2 \cdot 3 \frac{d x}{d x} 0

共通の導関数を適用:

\frac{d x}{d x} = 1

= 2 \cdot 3 \cdot 1 \cdot 0

簡素化

= 0