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人気のある微分積分 >

d/(dy)(ln(x-2y))

解

\frac{d}{d y} (ln (x - 2 y))

解

- \frac{2}{x - 2 y}

解答ステップ

\frac{d}{d y} (ln (x - 2 y))

x

を定数として扱う

連鎖法則を適用:

\frac{1}{x - 2 y} \frac{d}{d y} (x - 2 y)

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

\frac{d}{d y} (x - 2 y) = - 2

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

簡素化

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

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

人気の例

d/(d{r)}(pi{r}^2)

\frac{d}{d r} (π r^{2})

derivative of ln(ln(9x))

\frac{d}{d x} (ln (ln (9 x)))

integral from 0 to 9 of 2piy(3-y/3)

\int_{0}^{9} 2 π y (3 - \frac{y}{3}) d y

derivative of-(5e^{5/x}/(x^2))

\frac{d}{d x} (- \frac{5 e ^{\frac{5}{x}}}{x ^{2}})

(\partial)/(\partial x)(30-(x^2+y^2))

\frac{\partial}{\partial x} (30 - (x^{2} + y^{2}))