2. 考研
  3. 设z=arctany2/2，则dz=________．

设z=arctany2/2，则dz=________．

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问题 设z=arctany2/2，则dz=________．
选项
答案-y2/(x2+y4)+2xy/(x2+y4)dy
解析 dz/dx=(-y2/x2)/(1+y4/x2)=-y2/(x2+y4)，dz/dy=(2y/x)/(1+y4/x2)=2xy/(x2+y4)，则dz=-y2/(x2+y4)+2xy/(x2+y4)dy．
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考研数学二

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