微积分题目
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时间:2025-11-10 13:34:07
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xy+tan(xy)=π
两边取全微分,即d(xy)+d[tan(xy)]=d(xy)+sec²(xy)·d(xy)=[1+sec²(xy)]·d(xy)=0
所以d(xy)=ydx+xdy=0,dy/dx=-y/x,选D
xy+tan(xy)=π
两边取全微分,即d(xy)+d[tan(xy)]=d(xy)+sec²(xy)·d(xy)=[1+sec²(xy)]·d(xy)=0
所以d(xy)=ydx+xdy=0,dy/dx=-y/x,选D