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人気のある微分積分 >

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

解

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

解

2 x^{2}

解答ステップ

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

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

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

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

= 0 + 2 x^{2}

簡素化

= 2 x^{2}

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