[tex=8.143x1.571]eE9dXkpN2effVrNkAbXJmIMEiDhyzaoNgK/p0kknPlql4c0fDEBIbd0AaIsGxXSnXPezufff831CUyEVLpLdVg==[/tex].

求方程：[tex=8.143x1.571]7sR533S6pe1n5cxuqRWoevD14vgTgeDBqBcvdQW4oRoNNqKaY7il4ZNmOaHqX6Bbl2Dps7SM4QRPcXZ9piQ/Yw==[/tex]

求下列函数的导数.[tex=8.143x1.571]6NV+aW9/sAkfbdHcVh/lydYuzIrPJVcVijOGaI1pRIS1dOprSfS7z6q3SM0MiMTX[/tex]

求下列函数的导数（[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]，[tex=0.5x1.0]wLRBXo571ziKptAIyBBTRQ==[/tex]是可导函数）：[tex=8.143x1.571]Ogst7OujnoSeG1iZx/ZQZENnHd2mwMNAbN6Q5fQ/Ae4=[/tex]

求分式线性映射[tex=3.286x1.357]AQhvwmYnVhXPQa9e6WrGoA==[/tex],使上半平面映射为单位圆内部并满足条件[tex=8.143x1.571]PzP9bEuqS63uxhwsiIioTCfO4i/7Q4FOYv9pI5AzvK0=[/tex].

根据铬在酸性介质中的元素电势图 :[tex=18.286x2.357]MO2Q/ojzuKSIHPIIVbIpxZMmF0E6K6LROY4LF5lXLGXZrLc3rEgKuOE6GQrUNuApU2qPnRHcioKVKQhReHJvixdk58olGaV8goLTvIyeDRJeXYWAoqO/xg+1/AvsawfD[/tex]计算 [tex=8.143x1.571]5MQkZnFKzvL3lBMVLNsMRXtNL0PIOcgaav+K2hCW4HXA2uDwEttgZ9KP8nO1dc6D2FaUaNP49KMpS7xWrrE2Ng==[/tex] 和 [tex=6.286x1.571]Zz90D/BLlYJRfxEGtH5y39YZxbDY1M3WGv+SJCib03LaSJHP/f/dba6obTH/f2zz[/tex].

[tex=1.643x1.214]/qZ+c1N9MzDUxcfRAZc9pA==[/tex]的计算公式为 未知类型：{'options': ['[tex=7.5x1.571]LBtdsXH8FjNe2vpVTppkCatIB24O3+byrmZFaN1ObG4=[/tex]', '[tex=8.214x1.5]6Lb0iMwQSa1641FHHK4k4HhNkhzdJOeKyBN7RBjQGng=[/tex]', '[tex=7.786x1.5]Zg2HOS8QEvGySHz9aCF2SRco77DNAQVevy8zZ0tVGY4=[/tex]', '[tex=7.5x1.571]kWvSplI6lAmtjAWVvyNDozetu13UsgpZEIK0Wo74Ojw=[/tex]', '[tex=8.143x1.571]ufbggVg17/b6A6ACLk01lhzCuXm/eRCE7GYW060+kwg=[/tex]'], 'type': 102}

试通过计算平衡点和线性奇点性态求平面单参数微分方程 [tex=8.143x1.571]N8MpkE4nFMQkTUrgV2d1vbNiODkAIe2Y/1iS/rg17Jmm2ebQ3NjoTH14iF+4Xa9RImi13sIQ6bWGizxwbxGyNQ==[/tex] 的 [tex=0.643x1.0]+D9NhKovEP8INGz+KZnr1A==[/tex] 的分支值,并画图验证(令 [tex=1.857x1.214]ooO3NdPRRpGHhBi8mByomA==[/tex] )

令[tex=8.143x1.571]R/UU5OljvlRek3j1NVwPuJAYVtehdlZeI+YTwmFkKDw=[/tex]为一组[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]共轭向量（假定为列向量），[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]为[tex=2.429x1.071]kaIcCzgC6SpeVVzRje1dYA==[/tex]对称正定矩阵，试证[tex=10.214x3.5]ADKwVEk4xY/YcsjevCQHGgZ3AvoUESd5jjb3vrV5/EnXO213DFNdRddzgWOAS61eE+K1h9nYF7mdDBlPsMsFj8Chn4F2PyIy40rArvNGTKLIfbRdcs2xJP6lpYlB2tHeWVFZ4ANUdQ9BIvhP9Gwrnw==[/tex]

设[tex=1.857x1.357]gLn+Of0lzCzaV2QUm6F4rA==[/tex]为连续函数,则下列命题中正确的有(   ).  未知类型：{'options': ['[tex=7.571x1.571]2mY9smRblOG4qpp7sCix7cSy3j7HtARiBVCpPDjS1LlH5GvhS3f0LUBsrfL8qsud[/tex]', '[tex=8.143x1.714]2mY9smRblOG4qpp7sCix7fIHnlBd3dACwLkAHD+zQPnhB1mRGEwMvT1AU3E91rgA[/tex]', '[tex=8.143x1.571]2mY9smRblOG4qpp7sCix7b1P5LYQOSwWHuadd/KeJAZyQXxql9Npgik86ohMv8JtxaKVW1EvdebfatYdnua2Mg==[/tex]', '[tex=7.286x1.714]/hCkdemxACkuILdyJ/lgkQZTiOL20QcdaygvrBKw99CLSaQ0/urPHSR+/vM5hEi8[/tex]'], 'type': 102}