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人気のある微分積分 >

(\partial)/(\partial y)(4x^2y)

解

\frac{\partial}{\partial y} (4 x^{2} y)

解

4 x^{2}

解答ステップ

\frac{\partial}{\partial y} (4 x^{2} y)

x

を定数として扱う

定数を除去:

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

= 4 x^{2} \frac{\partial}{\partial y} (y)

共通の導関数を適用:

\frac{\partial}{\partial y} (y) = 1

= 4 x^{2} \cdot 1

簡素化

= 4 x^{2}

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