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。
\[ \begin{equation}\begin{split}【1/1】求函数{2}^{(x - ln(x{\frac{1}{3}}^{{x}^{3}}))} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}\right)}{dx}\\=&({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))\\=&-3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)\right)}{dx}\\=&-3*2x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) - 3x^{2}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)ln(\frac{1}{3}) - \frac{3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln(\frac{1}{3})}{(2)} - \frac{3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)*0}{(\frac{1}{3})} - \frac{-{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{2}} - \frac{({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)}{x} - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0}{x(2)} + ({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2) + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0}{(2)}\\=&-6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) + 3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) - 6x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{2}(2) + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{2}} - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x} + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{2}} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( -6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) + 3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) - 6x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{2}(2) + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{2}} - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x} + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{2}} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)\right)}{dx}\\=&-6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) - 6x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)ln(\frac{1}{3}) - \frac{6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln(\frac{1}{3})}{(2)} - \frac{6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)*0}{(\frac{1}{3})} + 3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 3x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)ln(\frac{1}{3}) + \frac{3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0ln(\frac{1}{3})}{(2)} + \frac{3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)*0}{(\frac{1}{3})} + 9*4x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) + 9x^{4}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(\frac{1}{3})ln^{2}(2) + \frac{9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(\frac{1}{3})*0ln^{2}(2)}{(\frac{1}{3})} + \frac{9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})*2ln(2)*0}{(2)} - 6*2x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) - 6x^{2}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)ln(\frac{1}{3}) - \frac{6x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0ln(\frac{1}{3})}{(2)} - \frac{6x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)*0}{(\frac{1}{3})} + 3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{2}(2) + 3x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(\frac{1}{3})ln^{2}(2) + \frac{3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln^{2}(2)}{(\frac{1}{3})} + \frac{3x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})*2ln(2)*0}{(2)} + \frac{-2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{3}} + \frac{({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)}{x^{2}} + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0}{x^{2}(2)} - \frac{2*-{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{2}} - \frac{2({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)}{x} - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0}{x(2)} + \frac{-2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{3}} + \frac{({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)}{x^{2}} + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0}{x^{2}(2)} + ({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2) + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0}{(2)}\\=&-6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) + 9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) - 18x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) - 6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) - 18x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) + 12x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) - 9x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) - 27x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{3}(2) + 9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) + 18x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) - 9x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) + 6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{3}} + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{2}} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{3}} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x} - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{3}} - 3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{2}} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( -6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)ln(\frac{1}{3}) + 9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) + 54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) - 18x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) - 6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) - 18x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) + 12x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) - 9x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) - 27x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{3}(2) + 9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) + 18x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) - 9x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) + 6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{3}} + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{2}} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{3}} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x} - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{3}} - 3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{2}} + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)\right)}{dx}\\=&-6({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)ln(\frac{1}{3}) - \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln(\frac{1}{3})}{(2)} - \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)*0}{(\frac{1}{3})} + 9({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)ln(\frac{1}{3}) + \frac{9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0ln(\frac{1}{3})}{(2)} + \frac{9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)*0}{(\frac{1}{3})} + 54*3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) + 54x^{3}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(\frac{1}{3})ln^{2}(2) + \frac{54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(\frac{1}{3})*0ln^{2}(2)}{(\frac{1}{3})} + \frac{54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})*2ln(2)*0}{(2)} - 18 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) - 18x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)ln(\frac{1}{3}) - \frac{18x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0ln(\frac{1}{3})}{(2)} - \frac{18x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)*0}{(\frac{1}{3})} - 6({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)ln(\frac{1}{3}) - \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0ln(\frac{1}{3})}{(2)} - \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)*0}{(\frac{1}{3})} - 18*3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) - 18x^{3}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(\frac{1}{3})ln^{3}(2) - \frac{18x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(\frac{1}{3})*0ln^{3}(2)}{(\frac{1}{3})} - \frac{18x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})*3ln^{2}(2)*0}{(2)} + 12 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) + 12x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)ln(\frac{1}{3}) + \frac{12x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0ln(\frac{1}{3})}{(2)} + \frac{12x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)*0}{(\frac{1}{3})} - 9*3x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) - 9x^{3}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)ln^{2}(\frac{1}{3}) - \frac{9x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0ln^{2}(\frac{1}{3})}{(2)} - \frac{9x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)*2ln(\frac{1}{3})*0}{(\frac{1}{3})} - 27*6x^{5}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{3}(2) - 27x^{6}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(\frac{1}{3})ln^{3}(2) - \frac{27x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(\frac{1}{3})*0ln^{3}(2)}{(\frac{1}{3})} - \frac{27x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})*3ln^{2}(2)*0}{(2)} + 9*4x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) + 9x^{4}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)ln^{2}(\frac{1}{3}) + \frac{9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0ln^{2}(\frac{1}{3})}{(2)} + \frac{9x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)*2ln(\frac{1}{3})*0}{(\frac{1}{3})} + 18*4x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) + 18x^{4}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(\frac{1}{3})ln^{3}(2) + \frac{18x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(\frac{1}{3})*0ln^{3}(2)}{(\frac{1}{3})} + \frac{18x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})*3ln^{2}(2)*0}{(2)} - 9*2x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) - 9x^{2}({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)ln(\frac{1}{3}) - \frac{9x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0ln(\frac{1}{3})}{(2)} - \frac{9x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)*0}{(\frac{1}{3})} + 6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) + 6x({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(\frac{1}{3})ln^{3}(2) + \frac{6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln^{3}(2)}{(\frac{1}{3})} + \frac{6x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})*3ln^{2}(2)*0}{(2)} - \frac{2*-3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{4}} - \frac{2({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(2)}{x^{3}} - \frac{2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0}{x^{3}(2)} + \frac{3*-2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{3}} + \frac{3({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)}{x^{2}} + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0}{x^{2}(2)} - \frac{3*-3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{4}} - \frac{3({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{2}(2)}{x^{3}} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*2ln(2)*0}{x^{3}(2)} - \frac{3*-{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{2}} - \frac{3({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)}{x} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0}{x(2)} - \frac{-3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{4}} - \frac{({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)}{x^{3}} - \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0}{x^{3}(2)} - 3({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln(\frac{1}{3})ln^{3}(2) - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*0ln^{3}(2)}{(\frac{1}{3})} - \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})*3ln^{2}(2)*0}{(2)} + \frac{3*-2 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{3}} + \frac{3({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2)}{x^{2}} + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0}{x^{2}(2)} + ({2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}((1 - \frac{({\frac{1}{3}}^{x^{3}} + x({\frac{1}{3}}^{x^{3}}((3x^{2})ln(\frac{1}{3}) + \frac{(x^{3})(0)}{(\frac{1}{3})})))}{(x{\frac{1}{3}}^{x^{3}})})ln(2) + \frac{(x - ln(x{\frac{1}{3}}^{x^{3}}))(0)}{(2)}))ln^{3}(2) + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}*3ln^{2}(2)*0}{(2)}\\=&\frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3})}{x} + 18x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln^{2}(\frac{1}{3}) - 24 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)ln(\frac{1}{3}) - \frac{9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3})}{x} - 108x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) + 39 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) + 162x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{2}(2) - 324x^{5}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{3}(2) + 90x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln^{2}(\frac{1}{3}) + 126x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) - 36x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)ln(\frac{1}{3}) + \frac{9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln(\frac{1}{3})}{x} + 54x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln^{2}(\frac{1}{3}) - 27 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln(\frac{1}{3}) - 54x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{3}(2) + 81x^{5}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{4}(2) - 54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln^{2}(\frac{1}{3}) - 54x^{3}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{4}(2) + 27x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln(\frac{1}{3}) + 27x^{5}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln^{3}(\frac{1}{3}) + 81x^{8}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(\frac{1}{3})ln^{4}(2) - 27x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln^{3}(\frac{1}{3}) - 81x^{6}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(\frac{1}{3})ln^{4}(2) + 27x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln^{2}(\frac{1}{3}) + 27x^{4}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(\frac{1}{3})ln^{4}(2) - 12x^{2}{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)ln(\frac{1}{3}) - 3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2) + \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{2}(2)}{x} + \frac{9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{3}(2)}{x} + 9x{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{4}(2) + \frac{3 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{4}(2)}{x} + \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(2)}{x^{4}} + \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{2}} + \frac{11 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{4}} - \frac{8 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{2}(2)}{x^{3}} - \frac{12 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{3}} + \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)}{x^{2}} - \frac{4 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)}{x} + \frac{6 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{3}(2)}{x^{4}} + \frac{{2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)}{x^{4}} - \frac{4 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)}{x^{3}} - 9 * {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln(\frac{1}{3})ln^{4}(2) + {2}^{(x - ln(x{\frac{1}{3}}^{x^{3}}))}ln^{4}(2)\\ \end{split}\end{equation} \]

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