本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数e^{{(x + 1)}^{cot(x - a)}} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( e^{(x + 1)^{cot(x - a)}}\right)}{dx}\\=&e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))\\=&-(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{2}(x - a) + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{2}(x - a) + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)}\right)}{dx}\\=&-((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{2}(x - a) - (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)csc^{2}(x - a) - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)csc^{2}(x - a)}{(x + 1)} - (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2csc^{2}(x - a)cot(x - a)(1 + 0) + (\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a) + \frac{((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)}{(x + 1)} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)}{(x + 1)}\\=&(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} + (x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)} + 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} + (x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)} + 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}}\right)}{dx}\\=&((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) + (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)csc^{4}(x - a) + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)csc^{4}(x - a)}{(x + 1)} + (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-4csc^{4}(x - a)cot(x - a)(1 + 0) - 2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) - \frac{2((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot(x - a)csc^{2}(x - a)}{(x + 1)(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} + ((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{4}(x - a) + (x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)csc^{4}(x - a) + \frac{(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)csc^{4}(x - a)}{(x + 1)} + (x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-4csc^{4}(x - a)cot(x - a)(1 + 0) - 2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) - \frac{2((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot(x - a)csc^{2}(x - a)}{(x + 1)(x + 1)} - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - 2(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a) - \frac{2((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))csc^{2}(x - a)}{(x + 1)} - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} + 2((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) + 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot(x - a)csc^{2}(x - a) + \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot(x - a)csc^{2}(x - a)}{(x + 1)} + 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a) + 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0) - (\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a) - \frac{((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{2}} - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)}{(x + 1)^{2}} - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)}{(x + 1)^{2}} + (\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a) + \frac{((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-2cot(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{2}} + (\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a) + \frac{((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{2}(x - a)}{(x + 1)^{2}} + \frac{(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*-2cot(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{2}}\\=&-(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} - (x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)} - 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a) - 4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( -(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} - (x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)} - 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a) - 4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}}\right)}{dx}\\=&-((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) - (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{3}(x + 1)csc^{6}(x - a) - \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*3ln^{2}(x + 1)(1 + 0)csc^{6}(x - a)}{(x + 1)} - (x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)*-6csc^{6}(x - a)cot(x - a)(1 + 0) + 3(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)cot(x - a)csc^{4}(x - a)}{(x + 1)(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)*-4csc^{4}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - 3((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) - 3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{3}(x + 1)csc^{6}(x - a) - \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*3ln^{2}(x + 1)(1 + 0)csc^{6}(x - a)}{(x + 1)} - 3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)*-6csc^{6}(x - a)cot(x - a)(1 + 0) + 9(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{9((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)cot(x - a)csc^{4}(x - a)}{(x + 1)(x + 1)} + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{4}(x - a)}{(x + 1)} + \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)*-4csc^{4}(x - a)cot(x - a)(1 + 0)}{(x + 1)} + 6(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a) + \frac{6((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)csc^{4}(x - a)}{(x + 1)(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-4csc^{4}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - 6((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) - 6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{4}(x - a) - 6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)*-4csc^{4}(x - a)cot(x - a)(1 + 0) + 3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) + \frac{3((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}(x + 1)} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} - 3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{3((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}(x + 1)} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} - 9(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{9((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}(x + 1)} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{9(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} - 6(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a) - \frac{6((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} + 6(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a) + \frac{6((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)csc^{4}(x - a)}{(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)csc^{4}(x - a)}{(x + 1)(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-4csc^{4}(x - a)cot(x - a)(1 + 0)}{(x + 1)} + 6(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) + \frac{6((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - ((x + 1)^{(3cot(x - a))}((3*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(3cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)csc^{6}(x - a) - (x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{3}(x + 1)csc^{6}(x - a) - \frac{(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}*3ln^{2}(x + 1)(1 + 0)csc^{6}(x - a)}{(x + 1)} - (x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)*-6csc^{6}(x - a)cot(x - a)(1 + 0) + 3(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) + \frac{3((x + 1)^{(3cot(x - a))}((3*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(3cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)cot(x - a)csc^{4}(x - a)}{(x + 1)(x + 1)} + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{4}(x - a)}{(x + 1)} + \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)*-4csc^{4}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - 6((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) - 6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln^{2}(x + 1)cot(x - a)csc^{4}(x - a) - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*2ln(x + 1)(1 + 0)cot(x - a)csc^{4}(x - a)}{(x + 1)} - 6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{4}(x - a) - 6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)*-4csc^{4}(x - a)cot(x - a)(1 + 0) + 3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a) + \frac{3((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}(x + 1)} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} - 3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{3((x + 1)^{(3cot(x - a))}((3*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(3cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}(x + 1)} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{3(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} - 6(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a) - \frac{6((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} + 6(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) + \frac{6((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} + 3(\frac{-2(1 + 0)}{(x + 1)^{3}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a) + \frac{3((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))csc^{2}(x - a)}{(x + 1)^{2}} + \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)^{2}} + 6(\frac{-(1 + 0)}{(x + 1)^{2}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a) + \frac{6((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)csc^{2}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0)}{(x + 1)} - 2((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a) - 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)csc^{4}(x - a) - \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)csc^{4}(x - a)}{(x + 1)} - 2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-4csc^{4}(x - a)cot(x - a)(1 + 0) - 4((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - 4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))ln(x + 1)cot^{2}(x - a)csc^{2}(x - a) - \frac{4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}(1 + 0)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} - 4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)*-2cot(x - a)csc^{2}(x - a)(1 + 0)csc^{2}(x - a) - 4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)*-2csc^{2}(x - a)cot(x - a)(1 + 0) - 3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a) - \frac{3((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-2cot(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}} - 3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a) - \frac{3((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{2}(x - a)}{(x + 1)^{3}} - \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*-2cot(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}} + (\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a) + \frac{((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{3}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-3cot^{2}(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}} + 3(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a) + \frac{3((x + 1)^{(2cot(x - a))}((2*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(2cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{3}(x - a)}{(x + 1)^{3}} + \frac{3(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}*-3cot^{2}(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}} + 2(\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a) + \frac{2((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{3}} + \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot(x - a)}{(x + 1)^{3}} + \frac{2(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}*-csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}} + (\frac{-3(1 + 0)}{(x + 1)^{4}})(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a) + \frac{((x + 1)^{(3cot(x - a))}((3*-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(3cot(x - a))(1 + 0)}{(x + 1)}))e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}((x + 1)^{cot(x - a)}((-csc^{2}(x - a)(1 + 0))ln(x + 1) + \frac{(cot(x - a))(1 + 0)}{(x + 1)}))cot^{3}(x - a)}{(x + 1)^{3}} + \frac{(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}*-3cot^{2}(x - a)csc^{2}(x - a)(1 + 0)}{(x + 1)^{3}}\\=&(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{4}(x + 1)csc^{8}(x - a) - \frac{56(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} + 7(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{4}(x + 1)csc^{8}(x - a) - \frac{56(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)} - \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{6}(x - a)}{(x + 1)} + 16(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a) + \frac{24(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} - \frac{4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a)}{(x + 1)} + \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)^{2}} - \frac{28(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a)}{(x + 1)} + \frac{42(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)^{2}} - \frac{36(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{6}(x - a)}{(x + 1)} - \frac{24(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)} + 6(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{4}(x + 1)csc^{8}(x - a) - \frac{24(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a)}{(x + 1)} - \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)^{2}} + 36(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a) + \frac{72(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} + \frac{36(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)^{2}} - \frac{12(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{6}(x - a)}{(x + 1)} - \frac{72(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)} - \frac{12(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)csc^{4}(x - a)}{(x + 1)^{2}} + \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{4}(x - a)}{(x + 1)^{2}} + 12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a) + \frac{24(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} + 8(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{6}(x - a) + 28(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a) - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} + \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{18(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} + \frac{36(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{24(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{4(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{28(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{24(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{36(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{36(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{24(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{12(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}csc^{4}(x - a)}{(x + 1)^{2}} - \frac{16(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)} + (x + 1)^{(4cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{4}(x + 1)csc^{8}(x - a) - \frac{4(x + 1)^{(4cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a)}{(x + 1)} + 12(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{3}(x + 1)cot(x - a)csc^{6}(x - a) - \frac{6(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot(x - a)csc^{4}(x - a)}{(x + 1)^{2}} + \frac{6(x + 1)^{(4cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)^{2}} - \frac{24(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a)}{(x + 1)} + 8(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)csc^{6}(x - a) + 28(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln^{2}(x + 1)cot^{2}(x - a)csc^{4}(x - a) - \frac{8(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{12(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{24(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{12(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{4(x + 1)^{(4cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{12(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{3}} + \frac{12(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} + \frac{24(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{8(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot(x - a)csc^{2}(x - a)}{(x + 1)^{3}} - \frac{16(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a)}{(x + 1)} - \frac{8(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{4}(x - a)}{(x + 1)} - \frac{12(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)csc^{2}(x - a)}{(x + 1)^{2}} - \frac{8(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}csc^{2}(x - a)}{(x + 1)^{3}} - \frac{16(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)csc^{2}(x - a)}{(x + 1)} + 8(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}ln(x + 1)cot^{3}(x - a)csc^{2}(x - a) - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{4}} - \frac{18(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{4}} - \frac{6(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{3}(x - a)}{(x + 1)^{4}} + \frac{(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{4}(x - a)}{(x + 1)^{4}} + \frac{7(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{4}(x - a)}{(x + 1)^{4}} + \frac{11(x + 1)^{(2cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{4}} + \frac{6(x + 1)^{(3cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{4}(x - a)}{(x + 1)^{4}} + \frac{11(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot^{2}(x - a)}{(x + 1)^{4}} - \frac{6(x + 1)^{cot(x - a)}e^{(x + 1)^{cot(x - a)}}cot(x - a)}{(x + 1)^{4}} + \frac{(x + 1)^{(4cot(x - a))}e^{(x + 1)^{cot(x - a)}}cot^{4}(x - a)}{(x + 1)^{4}}\\ \end{split}\end{equation} \]

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