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人気のある微分積分 >

(\partial)/(\partial x)((x-y)^n)

解

\frac{\partial}{\partial x} ((x - y)^{n})

解

n (x - y)^{n - 1}

解答ステップ

\frac{\partial}{\partial x} ((x - y)^{n})

n, y

を定数として扱う

連鎖法則を適用:

n (x - y)^{n - 1} \frac{\partial}{\partial x} (x - y)

= n (x - y)^{n - 1} \frac{\partial}{\partial x} (x - y)

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

= n (x - y)^{n - 1} \cdot 1

簡素化

= n (x - y)^{n - 1}

人気の例

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