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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {{x}^{cos(x)}}^{arctan(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{x}^{cos(x)}}^{arctan(x)}\right)}{dx}\\=&({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))\\=&\frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)} - {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)arctan(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)} - {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)arctan(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x}\right)}{dx}\\=&(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)}) + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})}{(x^{2} + 1)} + \frac{{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)({x}^{cos(x)})} - ({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)arctan(x) - \frac{{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{(x)} - {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)arctan(x) - {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)(\frac{(1)}{(1 + (x)^{2})}) + \frac{-{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)arctan(x)}{x} + \frac{{{x}^{cos(x)}}^{arctan(x)}*-sin(x)arctan(x)}{x} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)(\frac{(1)}{(1 + (x)^{2})})}{x}\\=&\frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)} + \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x} + {{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan^{2}(x) - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x} - {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)arctan(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} - \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)} + \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x} + {{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan^{2}(x) - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x} - {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)arctan(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} - \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{2}}\right)}{dx}\\=&\frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{x} + \frac{2*-{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x} + \frac{2{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)arctan(x)}{(x^{2} + 1)x({x}^{cos(x)})} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*-sin(x)arctan(x)}{(x^{2} + 1)x} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x} - (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x) - \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)sin(x)arctan(x)}{(x^{2} + 1)({x}^{cos(x)})} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)(x)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} - (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x) - \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)(x)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)arctan(x)}{(x^{2} + 1)({x}^{cos(x)})} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} - 2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x) - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)}{(x^{2} + 1)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)(x)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)}{(x^{2} + 1)} + \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}cos(x)}{x} + \frac{2*-{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x^{2}} + \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)}{(x^{2} + 1)x} + \frac{2{{x}^{cos(x)}}^{arctan(x)}*-sin(x)}{(x^{2} + 1)x} + ({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}(x)sin^{2}(x)arctan^{2}(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}*2ln(x)sin^{2}(x)arctan^{2}(x)}{(x)} + {{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)*2sin(x)cos(x)arctan^{2}(x) + {{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})}) - \frac{2*-{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)cos(x)arctan^{2}(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x(x)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)cos(x)arctan^{2}(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)*-sin(x)arctan^{2}(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x} - \frac{2*-{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x^{2}} - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))sin(x)arctan(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x} - \frac{2{{x}^{cos(x)}}^{arctan(x)}sin(x)(\frac{(1)}{(1 + (x)^{2})})}{x} - ({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)cos(x)arctan(x) - \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{(x)} - {{x}^{cos(x)}}^{arctan(x)}ln(x)*-sin(x)arctan(x) - {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)(\frac{(1)}{(1 + (x)^{2})}) + (\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)}) + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}*2ln({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{-2{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{3}} - \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)arctan(x)}{x^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}*-sin(x)arctan(x)}{x^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}cos(x)(\frac{(1)}{(1 + (x)^{2})})}{x^{2}} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)}) - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{2x({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{2x{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{2}({x}^{cos(x)})} + \frac{-2{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{3}} + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos^{2}(x)arctan^{2}(x)}{x^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}*-2cos(x)sin(x)arctan^{2}(x)}{x^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x^{2}}\\=&\frac{-6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)x} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)}{(x^{2} + 1)} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)}{(x^{2} + 1)^{2}} - {{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{3}(x)arctan^{3}(x) + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)arctan^{2}(x)}{x} + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)cos(x)arctan^{2}(x) + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)arctan^{2}(x)}{x} + \frac{6x{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x} + {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)arctan(x) + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{3}} + \frac{8x^{2}{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{3}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{6x{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)arctan^{3}(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x^{2}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)x} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)}{(x^{2} + 1)} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)}{(x^{2} + 1)^{2}} - {{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{3}(x)arctan^{3}(x) + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)arctan^{2}(x)}{x} + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)cos(x)arctan^{2}(x) + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)arctan^{2}(x)}{x} + \frac{6x{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x} + {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)arctan(x) + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{3}} + \frac{8x^{2}{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{3}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{6x{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)arctan^{3}(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x^{2}}\right)}{dx}\\=&-6(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x) - \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)arctan(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*-sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{x^{2}} - \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{3}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)arctan(x)}{(x^{2} + 1)x^{2}({x}^{cos(x)})} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*-sin(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x^{2}} + \frac{3(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{x} + \frac{3*-{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x^{2}} + \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}*2ln({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)arctan(x)}{(x^{2} + 1)^{2}x({x}^{cos(x)})} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})*-sin(x)arctan(x)}{(x^{2} + 1)^{2}x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}x} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{x} - \frac{3*-{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x({x}^{cos(x)})} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)*-sin(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x} + \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{x^{2}} + \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{3}} + \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}({x}^{cos(x)})} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*-2cos(x)sin(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x^{2}} - \frac{12(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{x} - \frac{12*-{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{12({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan(x)}{(x^{2} + 1)x(x)} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)*-sin(x)arctan(x)}{(x^{2} + 1)x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x} + \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{x^{2}} + \frac{6*-2{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{(x^{2} + 1)x^{3}} + \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos^{2}(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}*-2cos(x)sin(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x^{2}} - \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{x} - \frac{6*-{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)x} - \frac{6{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)arctan(x)}{(x^{2} + 1)x({x}^{cos(x)})} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x} + 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x) + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{2x({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}(x)} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)arctan(x) - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}*2ln({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}(x)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}} + 2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x) + \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{2{{x}^{cos(x)}}^{arctan(x)}*2ln(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)(x)} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)({x}^{cos(x)})} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})*2sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{x} - \frac{3*-{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x({x}^{cos(x)})} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)*-sin(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{(x^{2} + 1)x} + 6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan(x) + \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)} + \frac{6{{x}^{cos(x)}}^{arctan(x)}*2ln(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)(x)} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)*2sin(x)cos(x)arctan(x)}{(x^{2} + 1)} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} - (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x) - \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)(x)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)arctan(x)}{(x^{2} + 1)({x}^{cos(x)})} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})*-sin(x)arctan(x)}{(x^{2} + 1)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} + (\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x) + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)({x}^{cos(x)})} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*2ln(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)(x)} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)*2sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} + 4(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x) + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{4x({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}(x)} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)arctan(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}} - 2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x) - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)cos(x)arctan(x)}{(x^{2} + 1)({x}^{cos(x)})} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)(x)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)*-sin(x)arctan(x)}{(x^{2} + 1)} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)} - (\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)arctan(x) - \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}(x)} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)*2ln({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)arctan(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)(\frac{(1)}{(1 + (x)^{2})})}{(x^{2} + 1)^{2}} - \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}sin(x)}{x} - \frac{6*-{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)x^{2}} - \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))sin(x)}{(x^{2} + 1)x} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x} - 3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x) - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)cos(x)}{(x^{2} + 1)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)*-sin(x)}{(x^{2} + 1)} - 6(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}cos(x) - \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)}{(x^{2} + 1)^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}*-sin(x)}{(x^{2} + 1)^{2}} - 3(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x) - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})ln(x)sin(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)sin(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)}{(x^{2} + 1)^{2}} - ({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{3}(x)sin^{3}(x)arctan^{3}(x) - \frac{{{x}^{cos(x)}}^{arctan(x)}*3ln^{2}(x)sin^{3}(x)arctan^{3}(x)}{(x)} - {{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)*3sin^{2}(x)cos(x)arctan^{3}(x) - {{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{3}(x)(\frac{3arctan^{2}(x)(1)}{(1 + (x)^{2})}) + \frac{3*-{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x^{2}} + \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}*2ln(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x(x)} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)*2sin(x)cos(x)cos(x)arctan^{3}(x)}{x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)*-sin(x)arctan^{3}(x)}{x} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)(\frac{3arctan^{2}(x)(1)}{(1 + (x)^{2})})}{x} + \frac{6*-{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)arctan^{2}(x)}{x^{2}} + \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin^{2}(x)arctan^{2}(x)}{x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}sin^{2}(x)arctan^{2}(x)}{x(x)} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)*2sin(x)cos(x)arctan^{2}(x)}{x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x} + 3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}(x)sin(x)cos(x)arctan^{2}(x) + \frac{3{{x}^{cos(x)}}^{arctan(x)}*2ln(x)sin(x)cos(x)arctan^{2}(x)}{(x)} + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)cos(x)cos(x)arctan^{2}(x) + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)*-sin(x)arctan^{2}(x) + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})}) + \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{3}} + \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x^{2}(x)} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)cos(x)arctan^{2}(x)}{x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)*-sin(x)arctan^{2}(x)}{x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x^{2}} - \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x^{3}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}sin(x)cos^{2}(x)arctan^{3}(x)}{x^{2}(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)cos^{2}(x)arctan^{3}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)*-2cos(x)sin(x)arctan^{3}(x)}{x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)(\frac{3arctan^{2}(x)(1)}{(1 + (x)^{2})})}{x^{2}} - \frac{6*-2{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x^{3}} - \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))sin(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)cos(x)arctan^{2}(x)}{x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)*-sin(x)arctan^{2}(x)}{x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x^{2}} - \frac{3*-{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)arctan^{2}(x)}{x^{2}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)cos^{2}(x)arctan^{2}(x)}{x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)*-2cos(x)sin(x)arctan^{2}(x)}{x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x} + 6(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x) + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)^{2}} + \frac{6x({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)}{(x^{2} + 1)^{2}} + \frac{6x{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)^{2}(x)} + \frac{6x{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)}{(x^{2} + 1)^{2}} + \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x^{3}} + \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))sin(x)arctan(x)}{x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}sin(x)(\frac{(1)}{(1 + (x)^{2})})}{x^{2}} - \frac{3*-{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)arctan(x)}{x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}*-sin(x)arctan(x)}{x} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos(x)(\frac{(1)}{(1 + (x)^{2})})}{x} + ({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)sin(x)arctan(x) + \frac{{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{(x)} + {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)arctan(x) + {{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)(\frac{(1)}{(1 + (x)^{2})}) + \frac{6(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{x} + \frac{6*-{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}x^{2}} + \frac{6({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)}{(x^{2} + 1)^{2}x({x}^{cos(x)})} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})*-sin(x)}{(x^{2} + 1)^{2}x} - 3(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x) - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln(x)ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}(x)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)}{(x^{2} + 1)^{2}({x}^{cos(x)})} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}} + (\frac{-3(2x + 0)}{(x^{2} + 1)^{4}}){{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)}) + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{3}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}*3ln^{2}({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{3}({x}^{cos(x)})} + \frac{2*-3{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{4}} + \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)arctan(x)}{x^{3}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}*-sin(x)arctan(x)}{x^{3}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}cos(x)(\frac{(1)}{(1 + (x)^{2})})}{x^{3}} - \frac{3*-3{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{4}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos^{2}(x)arctan^{2}(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}*-2cos(x)sin(x)arctan^{2}(x)}{x^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)(\frac{2arctan(x)(1)}{(1 + (x)^{2})})}{x^{3}} + 8(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x^{2}{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)}) + \frac{8*2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{8x^{2}({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{8x^{2}{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{3}({x}^{cos(x)})} - 2(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}}){{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)}) - \frac{2({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln({x}^{cos(x)})}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{2}({x}^{cos(x)})} - 6(\frac{-3(2x + 0)}{(x^{2} + 1)^{4}})x{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)}) - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{3}} - \frac{6x({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{3}} - \frac{6x{{x}^{cos(x)}}^{arctan(x)}*2ln({x}^{cos(x)})({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))}{(x^{2} + 1)^{3}({x}^{cos(x)})} + \frac{-3{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)arctan^{3}(x)}{x^{4}} + \frac{({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos^{3}(x)arctan^{3}(x)}{x^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}*-3cos^{2}(x)sin(x)arctan^{3}(x)}{x^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)(\frac{3arctan^{2}(x)(1)}{(1 + (x)^{2})})}{x^{3}} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}}){{x}^{cos(x)}}^{arctan(x)}cos(x)}{x^{2}} - \frac{3*-2{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x^{3}} - \frac{3({{x}^{cos(x)}}^{arctan(x)}(((\frac{(1)}{(1 + (x)^{2})}))ln({x}^{cos(x)}) + \frac{(arctan(x))(({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))}{({x}^{cos(x)})}))cos(x)}{(x^{2} + 1)x^{2}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}*-sin(x)}{(x^{2} + 1)x^{2}}\\=&\frac{32x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{3}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{3}} + \frac{16{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}x} + \frac{48{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{(x^{2} + 1)^{2}x} + \frac{24{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x} + \frac{8{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x^{3}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}x^{2}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{3}} + \frac{24{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan(x)}{(x^{2} + 1)x^{3}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)x^{2}} - \frac{48{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{3}} + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{3}x} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)^{2}x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}x^{2}} - \frac{21{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}x} + \frac{24{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{2}(x)arctan(x)}{(x^{2} + 1)^{2}x^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}x} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)^{2}x} + \frac{8{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)cos(x)arctan^{3}(x)}{(x^{2} + 1)x} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)cos^{2}(x)arctan^{3}(x)}{(x^{2} + 1)x^{2}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} + \frac{36{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{36{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{15{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x} - \frac{27{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}x} - \frac{24{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)arctan(x)}{(x^{2} + 1)x} + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos^{3}(x)arctan^{3}(x)}{(x^{2} + 1)x^{3}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)arctan^{2}(x)}{(x^{2} + 1)x^{3}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)x} - \frac{48{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan(x)}{(x^{2} + 1)x^{2}} + \frac{48{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}x^{2}} - \frac{24x{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{8x^{2}{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{3}} + \frac{2{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{14x{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{3}} - \frac{10x{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} + \frac{8{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} + \frac{4x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{24x^{2}{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{3}} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)^{3}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln^{2}({x}^{cos(x)})sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} + \frac{14{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin^{2}(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{2{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})cos(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} + \frac{7{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)ln({x}^{cos(x)})sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)} - \frac{3{{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)ln({x}^{cos(x)})sin^{3}(x)arctan^{3}(x)}{(x^{2} + 1)} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{3}(x)arctan^{2}(x)}{(x^{2} + 1)} + \frac{10{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)x^{2}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{(x^{2} + 1)x^{2}} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{9{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)x} + \frac{24{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)cos(x)arctan(x)}{(x^{2} + 1)} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{5{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin(x)cos(x)arctan^{2}(x)}{(x^{2} + 1)} - \frac{2x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)arctan^{2}(x)}{(x^{2} + 1)^{2}} + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{(x^{2} + 1)x} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{2}} + \frac{10x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{3}} + \frac{3{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)arctan(x)}{(x^{2} + 1)} + \frac{8x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)arctan(x)}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln^{3}(x)sin^{3}(x)arctan^{3}(x)}{(x^{2} + 1)} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)cos(x)}{(x^{2} + 1)^{2}} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{2}} - \frac{{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{3}({x}^{cos(x)})sin(x)arctan(x)}{(x^{2} + 1)^{3}} + \frac{24{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)^{2}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}sin(x)}{(x^{2} + 1)x^{2}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)}{(x^{2} + 1)^{2}x^{2}} + \frac{12x{{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)}{(x^{2} + 1)^{2}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)}{(x^{2} + 1)^{2}} + \frac{32x{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)^{3}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)}{(x^{2} + 1)^{2}x} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})ln(x)sin(x)}{(x^{2} + 1)^{3}} + {{x}^{cos(x)}}^{arctan(x)}ln^{4}(x)sin^{4}(x)arctan^{4}(x) - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{3}(x)cos(x)arctan^{4}(x)}{x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{3}(x)arctan^{3}(x)}{x} - 6{{x}^{cos(x)}}^{arctan(x)}ln^{3}(x)sin^{2}(x)cos(x)arctan^{3}(x) - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x^{2}} + \frac{28x{{x}^{cos(x)}}^{arctan(x)}ln(x)ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{3}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)cos^{2}(x)arctan^{4}(x)}{x^{2}} + \frac{24{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)cos(x)arctan^{3}(x)}{x^{2}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x} - \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin^{2}(x)arctan^{2}(x)}{x^{2}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}sin^{2}(x)arctan^{2}(x)}{x^{2}} + \frac{28{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x} + 3{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)cos^{2}(x)arctan^{2}(x) - 4{{x}^{cos(x)}}^{arctan(x)}ln^{2}(x)sin^{2}(x)arctan^{2}(x) + \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos(x)arctan^{2}(x)}{x^{3}} + \frac{12{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{2}(x)arctan^{3}(x)}{x^{3}} + \frac{24{{x}^{cos(x)}}^{arctan(x)}sin(x)cos(x)arctan^{2}(x)}{x^{3}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{2}(x)arctan^{2}(x)}{x^{2}} - \frac{24{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{2}x} + \frac{20x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})ln(x)sin(x)}{(x^{2} + 1)^{3}} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)cos^{3}(x)arctan^{4}(x)}{x^{3}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}sin(x)cos^{2}(x)arctan^{3}(x)}{x^{3}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}ln(x)cos^{3}(x)arctan^{3}(x)}{x^{2}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{2}} - \frac{32x^{2}{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)^{3}} - \frac{8{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x^{3}} + \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{2}} + \frac{4{{x}^{cos(x)}}^{arctan(x)}sin(x)arctan(x)}{x} + \frac{8{{x}^{cos(x)}}^{arctan(x)}ln(x)sin(x)}{(x^{2} + 1)^{2}} + {{x}^{cos(x)}}^{arctan(x)}ln(x)cos(x)arctan(x) + \frac{12{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})cos(x)}{(x^{2} + 1)^{3}x} - \frac{4{{x}^{cos(x)}}^{arctan(x)}ln(x)ln^{2}({x}^{cos(x)})sin(x)}{(x^{2} + 1)^{3}} + \frac{{{x}^{cos(x)}}^{arctan(x)}ln^{4}({x}^{cos(x)})}{(x^{2} + 1)^{4}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos(x)arctan(x)}{x^{4}} + \frac{11{{x}^{cos(x)}}^{arctan(x)}cos^{2}(x)arctan^{2}(x)}{x^{4}} + \frac{8{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x^{3}} - \frac{6{{x}^{cos(x)}}^{arctan(x)}cos^{3}(x)arctan^{3}(x)}{x^{4}} - \frac{12{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)x} - \frac{48x^{3}{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{4}} + \frac{24x{{x}^{cos(x)}}^{arctan(x)}ln({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{44x^{2}{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{4}} - \frac{8{{x}^{cos(x)}}^{arctan(x)}ln^{2}({x}^{cos(x)})}{(x^{2} + 1)^{3}} + \frac{4{{x}^{cos(x)}}^{arctan(x)}cos(x)}{(x^{2} + 1)^{2}x} - \frac{12x{{x}^{cos(x)}}^{arctan(x)}ln^{3}({x}^{cos(x)})}{(x^{2} + 1)^{4}} + \frac{{{x}^{cos(x)}}^{arctan(x)}cos^{4}(x)arctan^{4}(x)}{x^{4}}\\ \end{split}\end{equation} \]