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人気のある微分積分 >

(\partial)/(\partial x)(ln(x+2))

解

\frac{\partial}{\partial x} (ln (x + 2))

解

\frac{1}{x + 2}

解答ステップ

\frac{\partial}{\partial x} (ln (x + 2))

連鎖法則を適用:

\frac{1}{x + 2} \frac{\partial}{\partial x} (x + 2)

= \frac{1}{x + 2} \frac{\partial}{\partial x} (x + 2)

\frac{\partial}{\partial x} (x + 2) = 1

= \frac{1}{x + 2} \cdot 1

簡素化

= \frac{1}{x + 2}

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