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 x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ log_{log_{π}^{x}}^{log_{x}^{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( log_{log_{π}^{x}}^{log_{x}^{2}}\right)}{dx}\\=&(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})\\=&\frac{-1}{xln(x)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{xlog(π, x)ln(π)ln(log_{π}^{x})}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-1}{xln(x)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{xlog(π, x)ln(π)ln(log_{π}^{x})}\right)}{dx}\\=&\frac{--1}{x^{2}ln(x)ln(log_{π}^{x})} - \frac{-1}{xln^{2}(x)(x)ln(log_{π}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{xln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{-log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{xln(π)ln(log_{π}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{xlog(π, x)ln(π)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{xlog(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{xlog(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{1}{x^{2}ln(x)ln(log_{π}^{x})} + \frac{1}{x^{2}ln^{2}(x)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{1}{x^{2}ln(x)ln(log_{π}^{x})} + \frac{1}{x^{2}ln^{2}(x)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})}\right)}{dx}\\=&\frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} + \frac{-1}{x^{2}ln^{2}(x)(x)ln(log_{π}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}ln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}ln^{2}(x)ln(log_{π}^{x})} + \frac{-2}{x^{2}ln^{3}(x)(x)ln(log_{π}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}ln^{2}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{2}ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{-1}{x^{2}log(π, x)ln^{2}(x)(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{-0}{x^{2}log(π, x)ln(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln(π)ln(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{x^{2}log(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{2}ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{-1}{x^{2}log(π, x)ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} + \frac{-0}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} - \frac{3}{x^{3}ln^{2}(x)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}ln^{3}(x)ln(log_{π}^{x})} - \frac{2}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{4}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{1}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{1}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} - \frac{3}{x^{3}ln^{2}(x)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}ln^{3}(x)ln(log_{π}^{x})} - \frac{2}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{4}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{1}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{1}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})}\right)}{dx}\\=&\frac{-2*-3}{x^{4}ln(x)ln(log_{π}^{x})} - \frac{2*-1}{x^{3}ln^{2}(x)(x)ln(log_{π}^{x})} - \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}ln^{2}(x)ln(log_{π}^{x})} - \frac{3*-2}{x^{3}ln^{3}(x)(x)ln(log_{π}^{x})} - \frac{3*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln^{2}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3*-1}{x^{3}log(π, x)ln^{2}(x)(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3*-0}{x^{3}log(π, x)ln(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}ln^{3}(x)ln(log_{π}^{x})} - \frac{2*-3}{x^{3}ln^{4}(x)(x)ln(log_{π}^{x})} - \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln^{3}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2*-2}{x^{3}log(π, x)ln^{3}(x)(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2*-0}{x^{3}log(π, x)ln^{2}(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} - \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(x)(x)ln^{2}(log_{π}^{x})} - \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{4*-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{4}(log_{π}^{x})(log_{π}^{x})ln^{2}(π)} - \frac{4*-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{3}(π)(π)} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln(π)ln(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{x^{3}log(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{2}(π)ln(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3*-1}{x^{3}log(π, x)ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} - \frac{3*-0}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln^{2}(π)} - \frac{-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{3}(π)(π)} - \frac{-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})}{x^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{5*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{-3}{x^{4}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{-2}{x^{3}log(π, x)ln^{3}(x)(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln^{2}(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} - \frac{-0}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} - \frac{2*-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2*-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(π)(π)ln^{3}(log_{π}^{x})} - \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})}{x^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})} - \frac{4*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{6}{x^{4}ln(x)ln(log_{π}^{x})} + \frac{11}{x^{4}ln^{2}(x)ln(log_{π}^{x})} + \frac{11}{x^{4}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{12}{x^{4}ln^{3}(x)ln(log_{π}^{x})} + \frac{12}{x^{4}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} + \frac{24}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} + \frac{6}{x^{4}ln^{4}(x)ln(log_{π}^{x})} + \frac{6}{x^{4}log(π, x)ln^{3}(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{3}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(x)ln^{2}(log_{π}^{x})} + \frac{8}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{3}(log_{π}^{x})ln^{2}(π)} + \frac{6}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(x)ln^{2}(log_{π}^{x})} + \frac{2}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{4}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})ln(x)} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(x)ln^{3}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(π)ln^{4}(log_{π}^{x})} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{11}{x^{4}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{12log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} + \frac{6}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} + \frac{30log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} + \frac{6}{x^{4}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{12}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} + \frac{12log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{24log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln(log_{π}^{x})} + \frac{2}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{2}(log_{π}^{x})ln^{3}(π)} + \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{2}(log_{π}^{x})} + \frac{20log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{2}(log_{π}^{x})} + \frac{1}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(log_{π}^{x})ln^{2}(π)} + \frac{2}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{6}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(log_{π}^{x})ln^{3}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{3}(log_{π}^{x})} + \frac{30log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{3}(log_{π}^{x})} + \frac{2}{x^{4}log(π, x)ln^{3}(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{4}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(π)ln^{3}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{4}(log_{π}^{x})ln^{3}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{4}(log_{π}^{x})} + \frac{18log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{4}(log_{π}^{x})}\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ log_{log_{π}^{x}}^{log_{x}^{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( log_{log_{π}^{x}}^{log_{x}^{2}}\right)}{dx}\\=&(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})\\=&\frac{-1}{xln(x)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{xlog(π, x)ln(π)ln(log_{π}^{x})}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-1}{xln(x)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{xlog(π, x)ln(π)ln(log_{π}^{x})}\right)}{dx}\\=&\frac{--1}{x^{2}ln(x)ln(log_{π}^{x})} - \frac{-1}{xln^{2}(x)(x)ln(log_{π}^{x})} - \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{xln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{-log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{xln(π)ln(log_{π}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{xlog(π, x)ln(π)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{xlog(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{xlog(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{1}{x^{2}ln(x)ln(log_{π}^{x})} + \frac{1}{x^{2}ln^{2}(x)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{1}{x^{2}ln(x)ln(log_{π}^{x})} + \frac{1}{x^{2}ln^{2}(x)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{1}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})}\right)}{dx}\\=&\frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} + \frac{-1}{x^{2}ln^{2}(x)(x)ln(log_{π}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}ln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}ln^{2}(x)ln(log_{π}^{x})} + \frac{-2}{x^{2}ln^{3}(x)(x)ln(log_{π}^{x})} + \frac{-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}ln^{2}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{2}ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{-1}{x^{2}log(π, x)ln^{2}(x)(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{-0}{x^{2}log(π, x)ln(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln(π)ln(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{x^{2}log(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} + \frac{-2}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{2}ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{-1}{x^{2}log(π, x)ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}log(π, x)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} + \frac{-0}{x^{2}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} + \frac{-2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{2}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} + \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{2}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} - \frac{3}{x^{3}ln^{2}(x)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}ln^{3}(x)ln(log_{π}^{x})} - \frac{2}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{4}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{1}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{1}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-2}{x^{3}ln(x)ln(log_{π}^{x})} - \frac{3}{x^{3}ln^{2}(x)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}ln^{3}(x)ln(log_{π}^{x})} - \frac{2}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{4}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{1}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{1}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{2}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})}\right)}{dx}\\=&\frac{-2*-3}{x^{4}ln(x)ln(log_{π}^{x})} - \frac{2*-1}{x^{3}ln^{2}(x)(x)ln(log_{π}^{x})} - \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}ln^{2}(x)ln(log_{π}^{x})} - \frac{3*-2}{x^{3}ln^{3}(x)(x)ln(log_{π}^{x})} - \frac{3*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln^{2}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3*-1}{x^{3}log(π, x)ln^{2}(x)(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{3*-0}{x^{3}log(π, x)ln(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}ln^{3}(x)ln(log_{π}^{x})} - \frac{2*-3}{x^{3}ln^{4}(x)(x)ln(log_{π}^{x})} - \frac{2*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}ln^{3}(x)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2*-2}{x^{3}log(π, x)ln^{3}(x)(x)ln(π)ln^{2}(log_{π}^{x})} - \frac{2*-0}{x^{3}log(π, x)ln^{2}(x)ln^{2}(π)(π)ln^{2}(log_{π}^{x})} - \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln^{2}(x)ln(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(x)ln^{2}(log_{π}^{x})} - \frac{2*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(x)(x)ln^{2}(log_{π}^{x})} - \frac{2*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{4*-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{3}(log_{π}^{x})ln^{2}(π)} - \frac{4*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{4}(log_{π}^{x})(log_{π}^{x})ln^{2}(π)} - \frac{4*-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{3}(π)(π)} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{2(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln(π)ln(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}log(π, x)ln(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-0}{x^{3}log(π, x)ln^{2}(π)(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{2}(π)ln(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3}{x^{4}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3*-1}{x^{3}log(π, x)ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{3*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} - \frac{3*-0}{x^{3}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{3*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2*0}{x^{3}{\left(log(π, x)^{2}ln^{3}(π)(π)ln^{2}(log_{π}^{x})} - \frac{3log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln^{2}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})(log_{π}^{x})} - \frac{-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{2}(log_{π}^{x})ln^{2}(π)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln^{2}(π)} - \frac{-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{3}(π)(π)} - \frac{-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})}{x^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{2}(log_{π}^{x})} - \frac{log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{5*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{2}(log_{π}^{x})} - \frac{5log_{log_{π}^{x}}^{log_{x}^{2}}*-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})(log_{π}^{x})} - \frac{-3}{x^{4}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{(\frac{-(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{2}(ln(π))})}{x^{3}ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{-2}{x^{3}log(π, x)ln^{3}(x)(x)ln^{2}(log_{π}^{x})ln(π)} - \frac{-2(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}log(π, x)ln^{2}(x)ln^{3}(log_{π}^{x})(log_{π}^{x})ln(π)} - \frac{-0}{x^{3}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln^{2}(π)(π)} - \frac{2*-3}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2(\frac{-2(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{3}(ln(π))})}{x^{3}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2*-1}{x^{3}{\left(log(π, x)^{2}ln^{2}(x)(x)ln^{2}(π)ln^{3}(log_{π}^{x})} - \frac{2*-2*0}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{3}(π)(π)ln^{3}(log_{π}^{x})} - \frac{2*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})} - \frac{2*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})}{x^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{3}(log_{π}^{x})} - \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})} - \frac{4*-3log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4(\frac{-3(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{{\left(log(π, x)^{4}(ln(π))})log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4(\frac{(\frac{((\frac{(\frac{(0)}{(2)} - \frac{(1)log_{x}^{2}}{(x)})}{(ln(x))}))}{(log_{x}^{2})} - \frac{((\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))}))log_{log_{π}^{x}}^{log_{x}^{2}}}{(log_{π}^{x})})}{(ln(log_{π}^{x}))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}*-3*0}{x^{3}{\left(log(π, x)^{3}ln^{4}(π)(π)ln^{3}(log_{π}^{x})} - \frac{4log_{log_{π}^{x}}^{log_{x}^{2}}*-3(\frac{(\frac{(1)}{(x)} - \frac{(0)log_{π}^{x}}{(π)})}{(ln(π))})}{x^{3}{\left(log(π, x)^{3}ln^{3}(π)ln^{4}(log_{π}^{x})(log_{π}^{x})}\\=&\frac{6}{x^{4}ln(x)ln(log_{π}^{x})} + \frac{11}{x^{4}ln^{2}(x)ln(log_{π}^{x})} + \frac{11}{x^{4}log(π, x)ln(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{12}{x^{4}ln^{3}(x)ln(log_{π}^{x})} + \frac{12}{x^{4}log(π, x)ln^{2}(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(x)ln^{2}(log_{π}^{x})} + \frac{24}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{3}(log_{π}^{x})ln^{2}(π)} + \frac{6}{x^{4}ln^{4}(x)ln(log_{π}^{x})} + \frac{6}{x^{4}log(π, x)ln^{3}(x)ln(π)ln^{2}(log_{π}^{x})} + \frac{3}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(x)ln^{2}(log_{π}^{x})} + \frac{8}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{3}(log_{π}^{x})ln^{2}(π)} + \frac{6}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(x)ln^{2}(log_{π}^{x})} + \frac{2}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{4}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})ln(x)} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(x)ln^{3}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(π)ln^{4}(log_{π}^{x})} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}log(π, x)ln(π)ln(log_{π}^{x})} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln(log_{π}^{x})} + \frac{11}{x^{4}log(π, x)ln(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{11log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{2}ln^{2}(π)ln^{2}(log_{π}^{x})} + \frac{12log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln(log_{π}^{x})} + \frac{6}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(log_{π}^{x})ln^{2}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} + \frac{30log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{2}(log_{π}^{x})} + \frac{6}{x^{4}log(π, x)ln^{2}(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{12}{x^{4}{\left(log(π, x)^{2}ln(x)ln^{2}(π)ln^{3}(log_{π}^{x})} + \frac{12log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{24log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{3}ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln(log_{π}^{x})} + \frac{2}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{2}(log_{π}^{x})ln^{3}(π)} + \frac{2log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{2}(log_{π}^{x})} + \frac{20log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{2}(log_{π}^{x})} + \frac{1}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(log_{π}^{x})ln^{2}(π)} + \frac{2}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(π)ln^{3}(log_{π}^{x})} + \frac{6}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{3}(log_{π}^{x})ln^{3}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{3}(log_{π}^{x})} + \frac{30log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{3}(log_{π}^{x})} + \frac{2}{x^{4}log(π, x)ln^{3}(x)ln^{2}(log_{π}^{x})ln(π)} + \frac{4}{x^{4}{\left(log(π, x)^{2}ln^{2}(x)ln^{2}(π)ln^{3}(log_{π}^{x})} + \frac{12}{x^{4}{\left(log(π, x)^{3}ln(x)ln^{4}(log_{π}^{x})ln^{3}(π)} + \frac{6log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{4}(log_{π}^{x})} + \frac{18log_{log_{π}^{x}}^{log_{x}^{2}}}{x^{4}{\left(log(π, x)^{4}ln^{4}(π)ln^{4}(log_{π}^{x})}\\ \end{split}\end{equation} \]