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人気のある微分積分 >

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

解

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

解

- \frac{1}{( x + 2 y ) ^{2}}

解答ステップ

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

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

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

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

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

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