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人気のある微分積分 >

(\partial ^2)/(\partial x^2)(cos(xy))

解

\frac{\partial ^{2}}{\partial x ^{2}} (cos (x y))

解

- y^{2} cos (x y)

解答ステップ

\frac{\partial ^{2}}{\partial x ^{2}} (cos (x y))

\frac{\partial}{\partial x} (cos (x y)) = - sin (x y) y

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

\frac{\partial}{\partial x} (- sin (x y) y) = - y^{2} cos (x y)

= - y^{2} cos (x y)

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