2. 考研
  3. 设y=y(x)由exy=x2+y+1确定，则dy/dx=________．

设y=y(x)由exy=x2+y+1确定，则dy/dx=________．

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问题 设y=y(x)由exy=x2+y+1确定，则dy/dx=________．
选项
答案(2x-yexy)/(xexy-1)
解析 exy=x2+y+1两边对x求导得exy·(y+xdy/dx)=2x+dy/dx，解得dy/dx=(2x-yexy)/(xexy-1)．
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考研数学三

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