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人気のある微分積分 >

(\partial)/(\partial u)(3u^2)

解

\frac{\partial}{\partial u} (3 u^{2})

解

6 u

解答ステップ

\frac{\partial}{\partial u} (3 u^{2})

定数を除去:

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

= 3 \frac{\partial}{\partial u} (u^{2})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 \cdot 2 u^{2 - 1}

簡素化

= 6 u

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