(\partial)/(\partial x)(ln(x-3y))

解

\frac{\partial}{\partial x} (ln (x - 3 y))

\frac{1}{x - 3 y}

解答ステップ

\frac{\partial}{\partial x} (ln (x - 3 y))

y

を定数として扱う

連鎖法則を適用:

\frac{1}{x - 3 y} \frac{\partial}{\partial x} (x - 3 y)

= \frac{1}{x - 3 y} \frac{\partial}{\partial x} (x - 3 y)

\frac{\partial}{\partial x} (x - 3 y) = 1

= \frac{1}{x - 3 y} \cdot 1

簡素化

= \frac{1}{x - 3 y}