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人気のある微分積分 >

(\partial ^2)/(\partial r\partial θ)(r(θ)cos(θ))

解

\frac{\partial ^{2}}{\partial r \partial θ} (r (θ) cos (θ))

解

cos (θ) - θ sin (θ)

解答ステップ

\frac{\partial ^{2}}{\partial r \partial θ} (r (θ) cos (θ))

\frac{\partial}{\partial r} (r θ cos (θ)) = θ cos (θ)

= \frac{\partial}{\partial θ} (θ cos (θ))

\frac{\partial}{\partial θ} (θ cos (θ)) = cos (θ) - θ sin (θ)

= cos (θ) - θ sin (θ)

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