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人気のある微分積分 >

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

解

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

解

2 x^{4}

解答ステップ

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

x

を定数として扱う

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (4) = 0

= 2 x^{4} - 0

簡素化

= 2 x^{4}

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