Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 4 derivative of o is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ e^{o(o - 1)(\frac{-e^{x{o}^{2}}}{2})}\ with\ respect\ to\ o：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{\frac{-1}{2}o^{2}e^{xo^{2}} + \frac{1}{2}oe^{xo^{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\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}{The\ second\ derivative\ of\ function:} \\&\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}{The\ third\ derivative\ of\ function:} \\&\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}{The\ 4th\ derivative\ of\ function:} \\&\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} \]