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人気のある微分積分 >

(\partial)/(\partial y)(ln(xy))

解

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

解

\frac{1}{y}

解答ステップ

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

x

を定数として扱う

連鎖法則を適用:

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

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

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

= \frac{1}{x y} x

簡素化

\frac{1}{x y} x : \frac{1}{y}

= \frac{1}{y}

人気の例

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y^{^{'}} + tan (x) y - sin (x) = 0

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\int \frac{1}{x} + 2 x d x

(\partial)/(\partial x)(4sin(4x))

\frac{\partial}{\partial x} (4 sin (4 x))