数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
    当前位置:求导函数 > 导函数计算历史 > 答案

    本次共计算 1 个题目:每一题对 o 求 4 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数e^{o(o - 1)(\frac{-e^{x{o}^{2}}}{2})} 关于 o 的 4 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}\right)}{do}\\=&e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)\\=&-oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}}{2} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( -oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}}{2} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\right)}{do}\\=&-e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o - x*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}}}{2} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o}{2} + x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o\\=&-e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 3xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 2x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 2x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{4} + 3xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 5xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\\\\ &\color{blue}{函数的第 3 阶导数:} \\&\frac{d\left( -e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 3xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 2x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 2x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{4} + 3xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 5xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\right)}{do}\\=&-e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + 2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 2x*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 2xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} - oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 3x*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 3xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} - 3xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + x^{2}*6o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 2x^{2}*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 2x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} - 2x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 2x^{2}*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 2x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - 2x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}}}{4} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o}{4} + 3xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 3xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + 3xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o - 5x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 5xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - 5xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + x^{2}*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 2x^{2}*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 2x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + 2x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o\\=&3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 14xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} - \frac{31xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} - 12xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} - o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 3xo^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - \frac{3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + 6xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4xo^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 3x^{2}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - \frac{15xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + \frac{15x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + 8x^{2}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 4xo^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + \frac{3xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} - 6x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 12x^{2}o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - x^{3}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 21x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 3x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4x^{3}o^{7}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + \frac{7xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} + \frac{3x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + 4x^{2}o^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 8x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 3x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 8x^{3}o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 18x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 13x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{8} + xoe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 3xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 12x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4x^{3}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 2x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 4x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\\\\ &\color{blue}{函数的第 4 阶导数:} \\&\frac{d\left( 3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 14xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} - \frac{31xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} - 12xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} - o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 3xo^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - \frac{3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + 6xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4xo^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 3x^{2}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - \frac{15xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + \frac{15x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + 8x^{2}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 4xo^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + \frac{3xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} - 6x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 12x^{2}o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - x^{3}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 21x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 3x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4x^{3}o^{7}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + \frac{7xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} + \frac{3x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + 4x^{2}o^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 8x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 3x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 8x^{3}o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 18x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 13x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{8} + xoe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 3xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 12x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4x^{3}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 2x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 4x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\right)}{do}\\=&3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 14x*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 14xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 14xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}}}{2} - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o}{2} - \frac{31x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} - \frac{31xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}}}{2} - \frac{31xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o}{2} - 12xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 12xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - 12xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + \frac{3*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + \frac{3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{2} + \frac{3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{2} - 3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - 3x*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 3xo^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - 3xo^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} - \frac{3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{4} - \frac{3oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{4} + 6x*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 6xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} + 6xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o + 4x*3o^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4xo^{3}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4xo^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) - 3x^{2}*7o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 3x^{2}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - 3x^{2}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - \frac{15x*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} - \frac{15xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{4} - \frac{15xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{4} + \frac{15x^{2}*6o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + \frac{15x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{2} + \frac{15x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{2} + 8x^{2}*5o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 8x^{2}o^{5}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 8x^{2}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) - 4x*2oe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 4xo^{2}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 4xo^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) + \frac{3x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + \frac{3xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{4} + \frac{3xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{4} - 6x^{2}*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 6x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - 6x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - 12x^{2}*4o^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 12x^{2}o^{4}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 12x^{2}o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) - x^{3}*9o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - x^{3}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - x^{3}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - 21x^{2}*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 21x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} - 21x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 3x^{3}*8o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 3x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} + 3x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o + 4x^{3}*7o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{3}o^{7}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{3}o^{7}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) + \frac{7xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}}}{2} + \frac{7xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}}}{2} + \frac{7xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o}{2} + \frac{3x^{2}*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + \frac{3x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{2} + \frac{3x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{2} + 4x^{2}*3o^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{2}o^{3}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{2}o^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) + 8x^{2}*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 8x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 8x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 3x^{3}*7o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 3x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} - 3x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o - 8x^{3}*6o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 8x^{3}o^{6}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 8x^{3}o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) - 18x^{2}*3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 18x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - 18x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + 13x^{2}*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 13x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 13x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 2x^{3}*7o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 2x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 4x^{3}*6o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} - 4x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o - 4x^{3}*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} - 4x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} - 4x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}}}{8} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o}{8} + xe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + xo*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + xoe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) + 3xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + 3xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + 12x^{2}*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 12x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + 12x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o + x^{3}*6o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{3}} + x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*3e^{{xo^{2}}*{2}}e^{xo^{2}}x*2o + 4x^{3}*5o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{3}o^{5}*2e^{xo^{2}}e^{xo^{2}}x*2oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 4x^{3}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o) + 2x^{3}*5o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 2x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{{xo^{2}}*{2}} + 2x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}*2e^{xo^{2}}e^{xo^{2}}x*2o + 4x^{3}*4o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 4x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}(\frac{-1}{2}*2oe^{xo^{2}} - \frac{1}{2}o^{2}e^{xo^{2}}x*2o + \frac{1}{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}x*2o)e^{xo^{2}} + 4x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}x*2o\\=&3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 6o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 36xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 6oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 57xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 24xo^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 60x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 40xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 126x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 112x^{2}o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - \frac{3e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} - 27xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 14xoe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - \frac{7xo^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} - \frac{165x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} - 126x^{2}o^{3}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 12xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 54xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 95x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 10xo^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 120x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 78x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{3o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} - 2o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - \frac{oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} + 9xo^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 9xo^{3}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 4xo^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 6xo^{4}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 6x^{2}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 18x^{2}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 18x^{2}o^{6}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - \frac{9xo^{2}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}}{2} + \frac{39x^{2}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} + 36x^{2}o^{5}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 9x^{2}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 4x^{3}o^{10}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 14x^{3}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 18x^{3}o^{8}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + \frac{xo^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} - \frac{45x^{2}o^{4}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}}{2} + \frac{15xoe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{4} + \frac{3x^{2}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{2} + 18x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 45x^{3}o^{7}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 112x^{3}o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 36x^{3}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 93x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + \frac{33x^{2}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}}}{2} + \frac{9x^{2}o^{3}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}}{2} - 10x^{3}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 36x^{3}o^{6}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 78x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} - 180x^{3}o^{5}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + x^{4}o^{12}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 4x^{4}o^{11}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 6x^{4}o^{10}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 60x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 33x^{2}o^{2}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 6x^{4}o^{10}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 18x^{4}o^{9}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 2x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 24x^{4}o^{8}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 6x^{4}o^{10}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 21x^{3}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 18x^{4}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 5xe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 30x^{2}o^{2}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 9x^{3}o^{5}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 68x^{3}o^{4}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 24x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 4x^{4}o^{9}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} - 18x^{4}o^{8}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 48x^{4}o^{7}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} - 18x^{4}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 36x^{3}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 56x^{3}o^{4}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 4x^{4}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 8x^{4}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} - 8x^{4}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + \frac{e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}}}{16} + \frac{3xoe^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}}{4} + xe^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 30x^{2}oe^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + 40x^{3}o^{3}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}} + x^{4}o^{8}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{4}} + 6x^{4}o^{7}e^{{xo^{2}}*{3}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 24x^{4}o^{6}e^{{xo^{2}}*{2}}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}} + 6x^{4}o^{7}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{3}} + 4x^{4}o^{6}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{{xo^{2}}*{2}} + 8x^{4}o^{5}e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}e^{xo^{2}}\\ \end{split}\end{equation} \]



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