(\partial)/(\partial x)(5(x-3)^2)

解

\frac{\partial}{\partial x} (5 (x - 3)^{2})

10 (x - 3)

解答ステップ

\frac{\partial}{\partial x} (5 (x - 3)^{2})

定数を除去:

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

= 5 \frac{\partial}{\partial x} ((x - 3)^{2})

連鎖法則を適用:

2 (x - 3) \frac{\partial}{\partial x} (x - 3)

= 2 (x - 3) \frac{\partial}{\partial x} (x - 3)

\frac{\partial}{\partial x} (x - 3) = 1

= 5 \cdot 2 (x - 3) \cdot 1

簡素化

= 10 (x - 3)