(\partial)/(\partial x)(ln(1-2x))

解

\frac{\partial}{\partial x} (ln (1 - 2 x))

- \frac{2}{1 - 2 x}

解答ステップ

\frac{\partial}{\partial x} (ln (1 - 2 x))

連鎖法則を適用:

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

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

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

= \frac{1}{1 - 2 x} (- 2)

簡素化

\frac{1}{1 - 2 x} (- 2) : - \frac{2}{1 - 2 x}

= - \frac{2}{1 - 2 x}