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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ 10arctan(\frac{(x + 1)}{(x - 1)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 10arctan(\frac{x}{(x - 1)} + \frac{1}{(x - 1)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 10arctan(\frac{x}{(x - 1)} + \frac{1}{(x - 1)})\right)}{dx}\\=&10(\frac{((\frac{-(1 + 0)}{(x - 1)^{2}})x + \frac{1}{(x - 1)} + (\frac{-(1 + 0)}{(x - 1)^{2}}))}{(1 + (\frac{x}{(x - 1)} + \frac{1}{(x - 1)})^{2})})\\=&\frac{-10x}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{10}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{10}{(x - 1)(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-10x}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{10}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{10}{(x - 1)(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)}\right)}{dx}\\=&\frac{-10(\frac{-2(1 + 0)}{(x - 1)^{3}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{10(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})x}{(x - 1)^{2}} - \frac{10}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{10(\frac{-2(1 + 0)}{(x - 1)^{3}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{10(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)^{2}} + \frac{10(\frac{-(1 + 0)}{(x - 1)^{2}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{10(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)}\\=&\frac{20x}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20x^{3}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20x^{2}}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60x^{2}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{40x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}} + \frac{20}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{20x}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20x^{3}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20x^{2}}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60x^{2}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{40x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}} + \frac{20}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20}{(x - 1)^{2}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}}\right)}{dx}\\=&\frac{20(\frac{-3(1 + 0)}{(x - 1)^{4}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{20(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})x}{(x - 1)^{3}} + \frac{20}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20(\frac{-5(1 + 0)}{(x - 1)^{6}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{3}}{(x - 1)^{5}} - \frac{20*3x^{2}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20(\frac{-4(1 + 0)}{(x - 1)^{5}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{4}} + \frac{20*2x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60(\frac{-5(1 + 0)}{(x - 1)^{6}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{5}} - \frac{60*2x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40(\frac{-4(1 + 0)}{(x - 1)^{5}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{4}} + \frac{40}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60(\frac{-5(1 + 0)}{(x - 1)^{6}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{5}} - \frac{60}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{4}} + \frac{20(\frac{-4(1 + 0)}{(x - 1)^{5}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20*2x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{40(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{4}} + \frac{40(\frac{-4(1 + 0)}{(x - 1)^{5}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{3}} - \frac{20(\frac{-3(1 + 0)}{(x - 1)^{4}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}} + \frac{20(\frac{-3(1 + 0)}{(x - 1)^{4}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{20(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)^{3}} - \frac{20(\frac{-2(1 + 0)}{(x - 1)^{3}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{20(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)^{2}} - \frac{20(\frac{-5(1 + 0)}{(x - 1)^{6}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{5}} + \frac{20(\frac{-4(1 + 0)}{(x - 1)^{5}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{4}} + \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{4}} + \frac{20(\frac{-4(1 + 0)}{(x - 1)^{5}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{3}} - \frac{20(\frac{-3(1 + 0)}{(x - 1)^{4}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}}\\=&\frac{-60x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{140x^{3}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{240x^{2}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{480x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{80x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} - \frac{60x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{80x^{5}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160x^{4}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400x^{4}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{40x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{640x^{3}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80x^{3}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{120x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{800x^{3}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{960x^{2}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{800x^{2}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{160x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{480x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{140x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{480x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{640x}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400x}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{480x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{160x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} + \frac{140}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}} - \frac{300}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{60}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{80}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{140}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{160}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{160}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} - \frac{80}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-60x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{140x^{3}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{240x^{2}}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{480x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{80x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} - \frac{60x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{80x^{5}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160x^{4}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400x^{4}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{40x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{640x^{3}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80x^{3}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{120x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{800x^{3}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{960x^{2}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{800x^{2}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{160x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{480x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{140x}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{480x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{640x}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400x}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{480x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{160x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} + \frac{140}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{20}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{3}} - \frac{300}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{60}{(x - 1)^{3}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{80}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{140}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{160}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{160}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} - \frac{80}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}}\right)}{dx}\\=&\frac{-60(\frac{-4(1 + 0)}{(x - 1)^{5}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{60(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})x}{(x - 1)^{4}} - \frac{60}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{140(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{140(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{3}}{(x - 1)^{6}} + \frac{140*3x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{240(\frac{-5(1 + 0)}{(x - 1)^{6}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{240(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{5}} - \frac{240*2x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{6}} + \frac{420*2x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{480(\frac{-5(1 + 0)}{(x - 1)^{6}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{480(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{5}} - \frac{480}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{5}} + \frac{80(\frac{-5(1 + 0)}{(x - 1)^{6}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80*2x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} - \frac{60(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x^{2}}{(x - 1)^{5}} - \frac{60(\frac{-5(1 + 0)}{(x - 1)^{6}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{60*2x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{80(\frac{-8(1 + 0)}{(x - 1)^{9}})x^{5}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{5}}{(x - 1)^{8}} - \frac{80*5x^{4}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{4}}{(x - 1)^{7}} + \frac{160*4x^{3}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400(\frac{-8(1 + 0)}{(x - 1)^{9}})x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{4}}{(x - 1)^{8}} - \frac{400*4x^{3}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{40(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{4}} + \frac{40(\frac{-4(1 + 0)}{(x - 1)^{5}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{40}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} + \frac{640(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{640(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{3}}{(x - 1)^{7}} + \frac{640*3x^{2}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{3}}{(x - 1)^{6}} - \frac{80*3x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{6}} - \frac{240*2x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{120(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{5}} - \frac{120(\frac{-5(1 + 0)}{(x - 1)^{6}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{120}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{800(\frac{-8(1 + 0)}{(x - 1)^{9}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{800(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{3}}{(x - 1)^{8}} - \frac{800*3x^{2}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{960(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{960(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{7}} + \frac{960*2x}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{800(\frac{-8(1 + 0)}{(x - 1)^{9}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{800(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{8}} - \frac{800*2x}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{4}}{(x - 1)^{7}} + \frac{80(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{80*4x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{160(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{3}}{(x - 1)^{6}} - \frac{160(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{160*3x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{3}}{(x - 1)^{7}} + \frac{320(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{320*3x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{480(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{6}} - \frac{480(\frac{-6(1 + 0)}{(x - 1)^{7}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{480*2x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{140(\frac{-4(1 + 0)}{(x - 1)^{5}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{140(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{4}} + \frac{140}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420(\frac{-6(1 + 0)}{(x - 1)^{7}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{420(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})x}{(x - 1)^{6}} + \frac{420}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{480(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x^{2}}{(x - 1)^{7}} + \frac{480(\frac{-7(1 + 0)}{(x - 1)^{8}})x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{480*2x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{640(\frac{-7(1 + 0)}{(x - 1)^{8}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{640(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{7}} + \frac{640}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400(\frac{-8(1 + 0)}{(x - 1)^{9}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{400(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{8}} - \frac{400}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240(\frac{-6(1 + 0)}{(x - 1)^{7}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{240(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{6}} - \frac{240}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{480(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{6}} - \frac{480(\frac{-6(1 + 0)}{(x - 1)^{7}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{480}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{320(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{7}} + \frac{320(\frac{-7(1 + 0)}{(x - 1)^{8}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{320}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{160(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})x}{(x - 1)^{5}} + \frac{160(\frac{-5(1 + 0)}{(x - 1)^{6}})x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} + \frac{140(\frac{-4(1 + 0)}{(x - 1)^{5}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{140(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{4}} + \frac{40(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{4}} + \frac{40(\frac{-4(1 + 0)}{(x - 1)^{5}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{20(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{3}} - \frac{20(\frac{-3(1 + 0)}{(x - 1)^{4}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{300(\frac{-5(1 + 0)}{(x - 1)^{6}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{300(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{5}} - \frac{60(\frac{-4(1 + 0)}{(x - 1)^{5}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{60(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)^{4}} + \frac{60(\frac{-3(1 + 0)}{(x - 1)^{4}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{60(\frac{-((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}})}{(x - 1)^{3}} - \frac{80(\frac{-8(1 + 0)}{(x - 1)^{9}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{8}} + \frac{140(\frac{-6(1 + 0)}{(x - 1)^{7}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{140(\frac{-2((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}})}{(x - 1)^{6}} + \frac{160(\frac{-7(1 + 0)}{(x - 1)^{8}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{7}} + \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{7}} + \frac{80(\frac{-7(1 + 0)}{(x - 1)^{8}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{160(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{6}} - \frac{160(\frac{-6(1 + 0)}{(x - 1)^{7}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-6(1 + 0)}{(x - 1)^{7}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{6}} + \frac{80(\frac{-3((\frac{-2(1 + 0)}{(x - 1)^{3}})x^{2} + \frac{2x}{(x - 1)^{2}} + 2(\frac{-2(1 + 0)}{(x - 1)^{3}})x + \frac{2}{(x - 1)^{2}} + (\frac{-2(1 + 0)}{(x - 1)^{3}}) + 0)}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}})}{(x - 1)^{5}} + \frac{80(\frac{-5(1 + 0)}{(x - 1)^{6}})}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}}\\=&\frac{240x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{960x^{3}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{1740x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{2880x^{2}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{480x^{7}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} - \frac{480x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} - \frac{480x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} + \frac{560x^{5}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} - \frac{1200x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{8}} + \frac{2800x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} - \frac{4800x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{8}} + \frac{420x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{6}} - \frac{2640x^{4}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{3280x^{3}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{10560x^{3}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{9840x^{2}}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{160x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{5600x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} - \frac{6960x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{8}} + \frac{1920x^{6}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{2880x^{5}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} + \frac{840x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{6}} + \frac{3480x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{16080x^{2}}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{1040x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{480x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{7}} - \frac{960x}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{1920x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{8}} + \frac{7680x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{8}} - \frac{1440x^{2}}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{3120x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} - \frac{1440x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{7}} + \frac{640x^{5}}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{3360x^{6}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} + \frac{11520x^{5}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{14400x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} - \frac{10080x^{5}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} + \frac{3200x^{4}}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{28800x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{28800x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} - \frac{960x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{2880x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{38400x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{16800x^{4}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} - \frac{16800x^{3}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} - \frac{11040x}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{4320x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{8}} + \frac{6400x^{3}}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{5600x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} - \frac{28800x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} + \frac{28800x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} + \frac{6400x^{2}}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{11520x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{8}} - \frac{10080x^{2}}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} - \frac{2880x}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{10080x}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{2880x}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{2800x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} + \frac{3200x}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{14400x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} + \frac{11520x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{3360x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} + \frac{7680x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{8}} - \frac{1440x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{7}} + \frac{80x}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} + \frac{240}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{5}} + \frac{240}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} - \frac{240}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)} + \frac{40}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{4}} - \frac{1200}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{120}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}(x - 1)^{5}} - \frac{720}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{6}} + \frac{480}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{7}} + \frac{3840}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{200}{(x - 1)^{4}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{3280}{(x - 1)^{8}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} - \frac{1320}{(x - 1)^{5}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{1920}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{8}} - \frac{480}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{7}} + \frac{640}{(x - 1)^{9}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}} + \frac{2160}{(x - 1)^{6}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} - \frac{960}{(x - 1)^{7}(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{2}} + \frac{1920}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{10}} - \frac{2880}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{9}} - \frac{480}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{4}(x - 1)^{11}} + \frac{560}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{9}} - \frac{560}{(\frac{x^{2}}{(x - 1)^{2}} + \frac{2x}{(x - 1)^{2}} + \frac{1}{(x - 1)^{2}} + 1)^{3}(x - 1)^{8}}\\ \end{split}\end{equation} \]