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 2 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{xcos(x)({e}^{x}{\frac{1}{x}}^{(\frac{e}{arctan(x)arcsin(x)} - 2)}{\frac{1}{x}}^{(3e^{x})})}{sin(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)}\right)}{dx}\\=&\frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-cos(x)cos(x)}{sin^{2}(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-sin(x)}{sin(x)}\\=&\frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{sin(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} - x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{sin(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} - x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}\right)}{dx}\\=&\frac{({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{{e}^{x}({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))cos(x)}{sin(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-cos(x)cos(x)}{sin^{2}(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-sin(x)}{sin(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))cos(x)}{sin(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-cos(x)cos(x)}{sin^{2}(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}*-sin(x)}{sin(x)} - \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{sin(x)arcsin^{2}(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}*0ln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e*-cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(\frac{1}{x})x^{2}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})*-cos(x)cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin^{2}(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})*-sin(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{sin(x)arcsin(x)arctan^{2}(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}*0ln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e*-cos(x)}{(x^{2} + 1)(\frac{1}{x})x^{2}sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})*-cos(x)cos(x)}{(x^{2} + 1)sin^{2}(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})*-sin(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{(x^{2} + 1)sin(x)arctan^{2}(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)(\frac{-2(1)}{arctan^{3}(x)(1 + (x)^{2})})}{(x^{2} + 1)sin(x)arcsin(x)} - \frac{({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))ecos(x)}{sin(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}*0cos(x)}{sin(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e*-cos(x)cos(x)}{sin^{2}(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e*-sin(x)}{sin(x)arcsin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{sin(x)arctan(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{sin(x)arcsin(x)} + \frac{2({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})}))cos(x)}{sin(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}*-cos(x)cos(x)}{sin^{2}(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}*-sin(x)}{sin(x)} + \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3x({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}*-cos(x)}{(\frac{1}{x})x^{2}sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})*-cos(x)cos(x)}{sin^{2}(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})*-sin(x)}{sin(x)} - \frac{3({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})})){\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}e^{x}cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))e^{x}cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}*-cos(x)cos(x)}{sin^{2}(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}*-sin(x)}{sin(x)} - \frac{{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} - \frac{x({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})}))cos^{2}(x)}{sin^{2}(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}*-2cos(x)cos^{2}(x)}{sin^{3}(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}*-2cos(x)sin(x)}{sin^{2}(x)} - {\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} - x({\frac{1}{x}}^{(3e^{x})}((3e^{x})ln(\frac{1}{x}) + \frac{(3e^{x})(\frac{-1}{x^{2}})}{(\frac{1}{x})})){e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} - x{\frac{1}{x}}^{(3e^{x})}({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)})){\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} - x{\frac{1}{x}}^{(3e^{x})}{e}^{x}({\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}((\frac{0}{arcsin(x)arctan(x)} + \frac{e(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})}{arctan(x)} + \frac{e(\frac{-(1)}{arctan^{2}(x)(1 + (x)^{2})})}{arcsin(x)} + 0)ln(\frac{1}{x}) + \frac{(\frac{e}{arcsin(x)arctan(x)} - 2)(\frac{-1}{x^{2}})}{(\frac{1}{x})}))\\=&\frac{4{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{6{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{5{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{xsin(x)arcsin(x)arctan(x)} + \frac{6{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}cos(x)}{xsin(x)} + \frac{12{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}cos(x)}{xsin(x)arcsin^{2}(x)arctan^{2}(x)} - \frac{2{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}cos(x)}{sin(x)} + \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} - \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{sin(x)arcsin(x)arctan(x)} - \frac{x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} + \frac{2x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}cos(x)}{sin(x)} - \frac{x^{2}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{3}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln^{2}(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{4}(x)arctan^{2}(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln^{2}(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 1)sin(x)arcsin^{3}(x)arctan^{3}(x)} + \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{3}(x)arctan^{2}(x)} - \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{3x{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}eln^{2}(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{3{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}ecos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{x{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}eln(\frac{1}{x})cos^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin^{2}(x)arcsin^{2}(x)arctan(x)} + \frac{x{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}eln(\frac{1}{x})}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)arctan(x)} + \frac{2x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{3}(x)arctan(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 1)sin(x)arcsin^{2}(x)arctan^{2}(x)} + \frac{2x^{2}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)^{2}sin(x)arcsin(x)arctan^{2}(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln^{2}(\frac{1}{x})cos(x)}{(x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{3}(x)arctan^{3}(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln^{2}(\frac{1}{x})cos(x)}{(x^{2} + 1)^{2}sin(x)arcsin^{2}(x)arctan^{4}(x)} + \frac{2{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin^{2}(x)arctan^{3}(x)} - \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{3x{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}eln^{2}(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} + \frac{3{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} + \frac{{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}ecos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} + \frac{x{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}eln(\frac{1}{x})cos^{2}(x)}{(x^{2} + 1)sin^{2}(x)arcsin(x)arctan^{2}(x)} + \frac{x{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}eln(\frac{1}{x})}{(x^{2} + 1)arcsin(x)arctan^{2}(x)} + \frac{x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}(x^{2} + 1)sin(x)arcsin^{2}(x)arctan^{2}(x)} + \frac{2x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos(x)}{(x^{2} + 1)^{2}sin(x)arcsin(x)arctan^{3}(x)} + \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}e^{2}ln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{3}(x)arctan^{2}(x)} - \frac{9{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{xsin(x)} + \frac{{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}ecos^{2}(x)}{sin^{2}(x)arcsin(x)arctan(x)} - \frac{3{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}eln(\frac{1}{x})cos(x)}{sin(x)arcsin(x)arctan(x)} + \frac{3{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}ecos(x)}{xsin(x)arcsin(x)arctan(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}ecos^{2}(x)}{sin^{2}(x)arcsin(x)arctan(x)} + \frac{{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}e}{arcsin(x)arctan(x)} - \frac{2{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}cos^{2}(x)}{sin^{2}(x)} + \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}{\frac{1}{x}}^{(3e^{x})}ecos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} + \frac{6{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} - \frac{6{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}cos(x)}{xsin(x)} - \frac{3{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e^{x}cos(x)}{sin(x)} - \frac{6{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}cos(x)}{sin(x)} - \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}ln^{2}(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} - \frac{3x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}ln^{2}(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}ln(\frac{1}{x})cos(x)}{sin(x)arcsin(x)arctan(x)} + \frac{9x{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}e^{{x}*{2}}ln^{2}(\frac{1}{x})cos(x)}{sin(x)} - \frac{18{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}e^{{x}*{2}}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{6x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}ln(\frac{1}{x})cos(x)}{sin(x)} + \frac{3{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e^{x}cos^{2}(x)}{sin^{2}(x)} - \frac{3x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e^{x}ln(\frac{1}{x})cos^{2}(x)}{sin^{2}(x)} - \frac{3x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}ln(\frac{1}{x})cos^{2}(x)}{sin^{2}(x)} + \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}ln(\frac{1}{x})cos(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin(x)arcsin^{2}(x)arctan(x)} + \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}ln(\frac{1}{x})cos(x)}{(x^{2} + 1)sin(x)arcsin(x)arctan^{2}(x)} + \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}ee^{x}cos(x)}{xsin(x)arcsin(x)arctan(x)} + \frac{9{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x}e^{{x}*{2}}cos(x)}{xsin(x)} + \frac{3{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}cos^{2}(x)}{sin^{2}(x)} - \frac{3{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}e^{x}cos(x)}{sin(x)} + \frac{{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e}{arcsin(x)arctan(x)} - 3x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e^{x}ln(\frac{1}{x}) - \frac{2{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}cos^{2}(x)}{sin^{2}(x)} - \frac{x{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}cos^{2}(x)}{sin^{2}(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}sin^{2}(x)arcsin^{2}(x)arctan(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})cos^{2}(x)}{(x^{2} + 1)sin^{2}(x)arcsin(x)arctan^{2}(x)} + 3{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x} + 3{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}e^{x} + \frac{2x{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}{e}^{x}cos^{3}(x)}{sin^{3}(x)} - 3x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}e^{x}ln(\frac{1}{x}) - x{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} - 2{\frac{1}{x}}^{(3e^{x})}{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} - x{e}^{x}{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)arctan(x)} + \frac{x{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}eln(\frac{1}{x})}{(x^{2} + 1)arcsin(x)arctan^{2}(x)} - 2{\frac{1}{x}}^{(3e^{x})}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{e}^{x} - 2{e}^{x}{\frac{1}{x}}^{(\frac{e}{arcsin(x)arctan(x)} - 2)}{\frac{1}{x}}^{(3e^{x})}\\ \end{split}\end{equation} \]