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。
\[ \begin{equation}\begin{split}【1/1】求函数{ln(sqrt(xsqrt(2x)))}^{2}ln(xsqrt(xsqrt(2x))cos({x}^{2})) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = ln^{2}(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( ln^{2}(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))\right)}{dx}\\=&\frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{ln^{2}(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{(xcos(x^{2})sqrt(xsqrt(2x)))}\\=&\frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} + \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{x} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} + \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{x} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}}\right)}{dx}\\=&\frac{\frac{-1}{2}ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{x^{\frac{1}{2}}sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2^{\frac{1}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{2x*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})} - \frac{2xln^{2}(sqrt(xsqrt(2x)))cos(x^{2})*2x}{cos(x^{2})} - \frac{2xln^{2}(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{cos^{2}(x^{2})} + \frac{\frac{-1}{2}ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln^{2}(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{2x^{\frac{1}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2x^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{-ln^{2}(sqrt(xsqrt(2x)))}{x^{2}} + \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln^{2}(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} + \frac{ln^{2}(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2*2^{\frac{1}{2}}sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}}\\=&\frac{-ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{2xsqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)}{xsqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}xsqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))}{2sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4xsqrt(2x)^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2x^{2}} - \frac{2ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{4x^{2}ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{8xsqrt(2x)^{2}} + \frac{ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}xsqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{5ln^{2}(sqrt(xsqrt(2x)))}{4x^{2}} + \frac{2ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - 4x^{2}ln^{2}(sqrt(xsqrt(2x)))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{2xsqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)}{xsqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}xsqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))}{2sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4xsqrt(2x)^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2x^{2}} - \frac{2ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{4x^{2}ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{8xsqrt(2x)^{2}} + \frac{ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}xsqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{5ln^{2}(sqrt(xsqrt(2x)))}{4x^{2}} + \frac{2ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - 4x^{2}ln^{2}(sqrt(xsqrt(2x)))\right)}{dx}\\=&\frac{-\frac{-3}{2}ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{2x^{\frac{3}{2}}sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} + \frac{-ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{2x^{2}sqrt(xsqrt(2x))^{2}} + \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)}{2x(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{2x(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*2*\frac{1}{2}}{2xsqrt(xsqrt(2x))^{2}(2x)^{\frac{1}{2}}} + \frac{-ln(sqrt(xsqrt(2x)))sqrt(2x)}{x^{2}sqrt(xsqrt(2x))^{2}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))*2*\frac{1}{2}}{x(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{x(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{\frac{-3}{2}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{x^{\frac{3}{2}}sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} - \frac{2*\frac{1}{2}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))cos(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{1}{2}*2*\frac{1}{2}}{cos(x^{2})sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} + \frac{-ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}x(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}xsqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(2x)(2x)^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{4(2x)(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4sqrt(2x)(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{\frac{-3}{2}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{x^{\frac{3}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2x(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}sqrt(2x)} + \frac{ln(sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} + \frac{ln(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2sqrt(xsqrt(2x))^{2}(2x)(2x)^{\frac{1}{2}}} - \frac{-ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{2}} - \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4x(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{2}} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{4x(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} - \frac{-2ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2x^{3}} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{2x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})} - \frac{2ln^{2}(sqrt(xsqrt(2x)))cos(x^{2})*2x}{cos(x^{2})} - \frac{2ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{cos^{2}(x^{2})} - \frac{2*\frac{1}{2}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))cos(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{1}{2}*2*\frac{1}{2}}{cos(x^{2})(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{cos(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{2x(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{2xln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{2xln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} - \frac{4*2xln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{4x^{2}*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})} - \frac{4x^{2}ln^{2}(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2x}{cos^{2}(x^{2})} - \frac{4x^{2}ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2x}{cos^{3}(x^{2})} - \frac{\frac{-3}{2}ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{4x^{\frac{3}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{-ln^{2}(sqrt(xsqrt(2x)))}{8x^{2}sqrt(2x)^{2}} - \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{2}} - \frac{ln^{2}(sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{8x(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} + \frac{-ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}xsqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln^{2}(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{ln^{2}(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{\frac{-1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} + \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2^{\frac{1}{2}}x^{\frac{1}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{1}{2}}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{5*-2ln^{2}(sqrt(xsqrt(2x)))}{4x^{3}} - \frac{5*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{2*\frac{-1}{2}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} + \frac{2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{2ln(sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{1}{2}}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - 4*2xln^{2}(sqrt(xsqrt(2x))) - \frac{4x^{2}*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}}\\=&\frac{3ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{4x^{2}sqrt(xsqrt(2x))^{2}} - \frac{3ln(sqrt(xsqrt(2x)))sqrt(2x)}{2x^{2}sqrt(xsqrt(2x))^{2}} - \frac{9ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} + \frac{sqrt(2x)}{2x^{2}sqrt(xsqrt(2x))^{2}} - \frac{sin(x^{2})sqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} + \frac{3sqrt(2x)^{\frac{3}{2}}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))^{3}} - \frac{5ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} + \frac{sqrt(2x)}{x^{2}sqrt(xsqrt(2x))^{2}} + \frac{1}{2xsqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{3ln(sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2sin(x^{2})sqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})}{cos(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}xsqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{3}{8x^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} - \frac{11ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{3}} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} + \frac{1}{4xsqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})}{2cos(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{3}{8*2^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{3}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)^{3}} + \frac{3ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{6x^{\frac{1}{2}}sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{3sqrt(2x)^{\frac{1}{2}}}{2*2^{\frac{1}{2}}xsqrt(xsqrt(2x))^{3}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{11ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{11ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{8x^{3}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)^{3}} - \frac{9ln(sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})}{2cos(x^{2})sqrt(2x)^{2}} + \frac{6ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(2x)} - \frac{3ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})}{xcos(x^{2})} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} - \frac{12xln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{cos^{3}(x^{2})} - \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{7ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{8x^{2}sqrt(2x)^{2}} - \frac{5ln(sqrt(xsqrt(2x)))}{2x^{3}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} - \frac{ln(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{4}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - 12xln^{2}(sqrt(xsqrt(2x))) + \frac{11ln^{2}(sqrt(xsqrt(2x)))}{4x^{3}} + \frac{3}{4x^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{1}{2}}} + \frac{3}{2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2x^{3}} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{3ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{4x^{2}sqrt(xsqrt(2x))^{2}} - \frac{3ln(sqrt(xsqrt(2x)))sqrt(2x)}{2x^{2}sqrt(xsqrt(2x))^{2}} - \frac{9ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} + \frac{sqrt(2x)}{2x^{2}sqrt(xsqrt(2x))^{2}} - \frac{sin(x^{2})sqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} + \frac{3sqrt(2x)^{\frac{3}{2}}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))^{3}} - \frac{5ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} + \frac{sqrt(2x)}{x^{2}sqrt(xsqrt(2x))^{2}} + \frac{1}{2xsqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{3ln(sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2sin(x^{2})sqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})}{cos(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}xsqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{3}{8x^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} - \frac{11ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{3}} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} + \frac{1}{4xsqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})}{2cos(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{3}{8*2^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{3}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)^{3}} + \frac{3ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8x^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{6x^{\frac{1}{2}}sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{3sqrt(2x)^{\frac{1}{2}}}{2*2^{\frac{1}{2}}xsqrt(xsqrt(2x))^{3}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} - \frac{11ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{11ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{8x^{3}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)^{3}} - \frac{9ln(sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})}{2cos(x^{2})sqrt(2x)^{2}} + \frac{6ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(2x)} - \frac{3ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})}{xcos(x^{2})} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}sqrt(2x)^{2}} - \frac{12xln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{cos^{3}(x^{2})} - \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{7ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{8x^{2}sqrt(2x)^{2}} - \frac{5ln(sqrt(xsqrt(2x)))}{2x^{3}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} - \frac{ln(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{4}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}sqrt(xsqrt(2x))} - 12xln^{2}(sqrt(xsqrt(2x))) + \frac{11ln^{2}(sqrt(xsqrt(2x)))}{4x^{3}} + \frac{3}{4x^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{1}{2}}} + \frac{3}{2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2x^{3}} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}}\right)}{dx}\\=&\frac{3*\frac{-5}{2}ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{3ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))} + \frac{3ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{3ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} - \frac{3*-2ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{4x^{3}sqrt(xsqrt(2x))^{2}} - \frac{3(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)}{4x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))^{2}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{4x^{2}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))*2*\frac{1}{2}}{4x^{2}sqrt(xsqrt(2x))^{2}(2x)^{\frac{1}{2}}} - \frac{3*-2ln(sqrt(xsqrt(2x)))sqrt(2x)}{2x^{3}sqrt(xsqrt(2x))^{2}} - \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{2x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3ln(sqrt(xsqrt(2x)))*2*\frac{1}{2}}{2x^{2}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3ln(sqrt(xsqrt(2x)))sqrt(2x)*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2x^{2}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{9*\frac{-5}{2}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{9(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{9ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{9ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} - \frac{2*-2ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}x^{2}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{\frac{-5}{2}ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} + \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2^{\frac{1}{2}}x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{3*\frac{-5}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{3(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} - \frac{\frac{-9}{4}ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{-2sqrt(2x)}{2x^{3}sqrt(xsqrt(2x))^{2}} + \frac{-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{2x^{2}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{2*\frac{1}{2}}{2x^{2}sqrt(xsqrt(2x))^{2}(2x)^{\frac{1}{2}}} - \frac{cos(x^{2})*2xsqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{sin(x^{2})sin(x^{2})*2xsqrt(2x)}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{sin(x^{2})*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)}{cos(x^{2})(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{sin(x^{2})*2*\frac{1}{2}}{cos(x^{2})sqrt(xsqrt(2x))^{2}(2x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}sqrt(2x)^{\frac{3}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3*\frac{3}{2}(2x)^{\frac{1}{4}}*2*\frac{1}{2}}{4x^{\frac{3}{2}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3sqrt(2x)^{\frac{3}{2}}*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{3}{2}}(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*-sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))^{3}} + \frac{3*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{1}{2}}x(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*\frac{1}{2}*2*\frac{1}{2}}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))^{3}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} - \frac{5*-2ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{3}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{5(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{5ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{2}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{5ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} - \frac{-2ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4*2^{\frac{1}{2}}x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{2}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{3*\frac{-3}{2}ln(sqrt(xsqrt(2x)))}{8x^{\frac{5}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{3ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{3}{2}}} - \frac{3ln(sqrt(xsqrt(2x)))*\frac{-3}{2}*2*\frac{1}{2}}{8x^{\frac{3}{2}}sqrt(xsqrt(2x))(2x)^{\frac{5}{4}}(2x)^{\frac{1}{2}}} - \frac{4*\frac{3}{2}x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} + \frac{-2sqrt(2x)}{x^{3}sqrt(xsqrt(2x))^{2}} + \frac{2*\frac{1}{2}}{x^{2}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{sqrt(2x)*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{2}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{-1}{2x^{2}sqrt(xsqrt(2x))^{2}sqrt(2x)} + \frac{-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2x(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} + \frac{-2*\frac{1}{2}}{2xsqrt(xsqrt(2x))^{2}(2x)(2x)^{\frac{1}{2}}} - \frac{3*\frac{-3}{2}ln(sqrt(xsqrt(2x)))}{8x^{\frac{5}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))*\frac{-3}{2}*2*\frac{1}{2}}{8x^{\frac{3}{2}}(2x)^{\frac{5}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{4*2xln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{3}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos^{2}(x^{2})(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2cos(x^{2})*2xsqrt(2x)}{cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{2sin(x^{2})sin(x^{2})*2xsqrt(2x)}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{2sin(x^{2})*2*\frac{1}{2}}{cos(x^{2})(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{2sin(x^{2})sqrt(2x)*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{cos(x^{2})(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{sin(x^{2})}{cos(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{xcos(x^{2})*2x}{cos(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{xsin(x^{2})sin(x^{2})*2x}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{xsin(x^{2})*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{cos(x^{2})(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{xsin(x^{2})*-2*\frac{1}{2}}{cos(x^{2})sqrt(xsqrt(2x))^{2}(2x)(2x)^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{3}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-3}{2}*2*\frac{1}{2}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))(2x)^{\frac{5}{4}}(2x)^{\frac{1}{2}}} - \frac{4*\frac{3}{2}x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{3}(x^{2})sqrt(xsqrt(2x))} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{4x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*\frac{1}{2}*2*\frac{1}{2}}{cos^{2}(x^{2})sqrt(xsqrt(2x))(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}} - \frac{3*\frac{-1}{2}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))cos(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{x^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{1}{2}*2*\frac{1}{2}}{x^{\frac{1}{2}}cos(x^{2})(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{\frac{1}{2}}cos(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{8*2xln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{3}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos^{2}(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} - \frac{-ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{8*2^{\frac{1}{2}}x(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-5}{2}*2*\frac{1}{2}}{8*2^{\frac{1}{2}}x(2x)^{\frac{7}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{2}}xsqrt(2x)^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-5}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{4x^{\frac{5}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*\frac{-1}{2}}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3*\frac{-1}{2}*2*\frac{1}{2}}{8x^{\frac{1}{2}}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}} - \frac{4*2xln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{4x^{2}ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{8*\frac{3}{2}x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{-2ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{3}sqrt(2x)^{2}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{2}} + \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{2}} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{4x^{2}(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} - \frac{11*\frac{-5}{2}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{11(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{11ln(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{4x^{\frac{5}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{11ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{\frac{5}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{8x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-3}{2}*2*\frac{1}{2}}{8x^{\frac{3}{2}}(2x)^{\frac{5}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{3}{2}}sqrt(2x)^{\frac{3}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{-ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{5}{2}}} - \frac{ln(sqrt(xsqrt(2x)))*\frac{-5}{2}*2*\frac{1}{2}}{4*2^{\frac{1}{2}}xsqrt(xsqrt(2x))(2x)^{\frac{7}{4}}(2x)^{\frac{1}{2}}} - \frac{-2ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{3}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2*2^{\frac{1}{2}}x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{2}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} + \frac{-3ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{4}} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{8x^{3}(xcos(x^{2})sqrt(xsqrt(2x)))} - \frac{8*\frac{3}{2}x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2xsqrt(2x)^{\frac{1}{2}}}{cos^{3}(x^{2})sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})*\frac{1}{2}*2*\frac{1}{2}}{cos^{2}(x^{2})(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{8x^{\frac{3}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{cos^{2}(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{-1}{4x^{2}sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{-2*\frac{1}{2}}{4x(2x)(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} + \frac{-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4xsqrt(2x)(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{sin(x^{2})}{2cos(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{xcos(x^{2})*2x}{2cos(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})sin(x^{2})*2x}{2cos^{2}(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})*-2*\frac{1}{2}}{2cos(x^{2})(2x)(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{xsin(x^{2})*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2cos(x^{2})sqrt(2x)(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{2}}(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{3}{2}}} + \frac{3*\frac{-3}{2}*2*\frac{1}{2}}{8*2^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}(2x)^{\frac{5}{4}}(2x)^{\frac{1}{2}}} - \frac{8*2xln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{8x^{2}ln(sqrt(xsqrt(2x)))*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} + \frac{\frac{-9}{4}ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} + \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{3}} - \frac{ln(sqrt(xsqrt(2x)))*-3*2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{3}{2}}(2x)^{2}(2x)^{\frac{1}{2}}} + \frac{3*\frac{-5}{2}ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{3*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sqrt(2x)^{\frac{1}{2}}}{8x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{3ln^{2}(sqrt(xsqrt(2x)))*\frac{1}{2}*2*\frac{1}{2}}{8x^{\frac{5}{2}}(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{3ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{\frac{5}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} + \frac{-3ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} + \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}(xcos(x^{2})sqrt(xsqrt(2x)))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} - \frac{2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{6*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{6x^{\frac{1}{2}}cos(x^{2})*2x}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{6x^{\frac{1}{2}}sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{6x^{\frac{1}{2}}sin(x^{2})*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-5}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} - \frac{4(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{4ln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})*\frac{-1}{2}*2*\frac{1}{2}}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} + \frac{3*-sqrt(2x)^{\frac{1}{2}}}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))^{3}} + \frac{3*\frac{1}{2}*2*\frac{1}{2}}{2*2^{\frac{1}{2}}x(2x)^{\frac{1}{4}}(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} + \frac{3sqrt(2x)^{\frac{1}{2}}*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-5}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2^{\frac{1}{2}}x^{\frac{5}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} - \frac{11*\frac{-5}{2}ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{11(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{11ln(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{11*-3ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{8x^{4}} + \frac{11(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})ln(sqrt(xsqrt(2x)))}{8x^{3}(xcos(x^{2})sqrt(xsqrt(2x)))} + \frac{11ln(xcos(x^{2})sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-3}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{3}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))*-3*2*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}(2x)^{2}(2x)^{\frac{1}{2}}} - \frac{9*-2ln(sqrt(xsqrt(2x)))}{4x^{3}sqrt(2x)^{2}} - \frac{9(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{2}} - \frac{9ln(sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{4x^{2}(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} + \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{2}} + \frac{3ln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2cos(x^{2})sqrt(2x)^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2cos^{2}(x^{2})sqrt(2x)^{2}} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})*-2*2*\frac{1}{2}}{2cos(x^{2})(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} + \frac{6*\frac{-1}{2}ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{3}{2}}cos(x^{2})sqrt(2x)} + \frac{6(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{1}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})sqrt(2x)} + \frac{6ln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(2x)} + \frac{6ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)} + \frac{6ln(sqrt(xsqrt(2x)))sin(x^{2})*-2*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})(2x)(2x)^{\frac{1}{2}}} - \frac{3*\frac{-3}{2}ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3ln(sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{1}{2}}x^{\frac{3}{2}}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*-ln(sqrt(xsqrt(2x)))sin(x^{2})}{x^{2}cos(x^{2})} + \frac{3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{x(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})} + \frac{3ln(sqrt(xsqrt(2x)))cos(x^{2})*2x}{xcos(x^{2})} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{xcos^{2}(x^{2})} - \frac{3*-2ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4x^{3}sqrt(2x)^{2}} - \frac{3(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{4x^{2}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{2}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{4x^{2}(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} - \frac{12ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{12x*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{2}(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{2}(x^{2})} - \frac{12xln^{2}(sqrt(xsqrt(2x)))*2sin(x^{2})cos(x^{2})*2x}{cos^{2}(x^{2})} - \frac{12xln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})*2sin(x^{2})*2x}{cos^{3}(x^{2})} - \frac{16*3x^{2}ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} - \frac{16x^{3}*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))cos(x^{2})*2x}{cos(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})sin(x^{2})*2x}{cos^{2}(x^{2})} - \frac{16*3x^{2}ln^{2}(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{cos^{3}(x^{2})} - \frac{16x^{3}*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}sin^{3}(x^{2})}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}cos^{3}(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))*3sin^{2}(x^{2})cos(x^{2})*2x}{cos^{3}(x^{2})} - \frac{16x^{3}ln^{2}(sqrt(xsqrt(2x)))sin^{3}(x^{2})*3sin(x^{2})*2x}{cos^{4}(x^{2})} - \frac{\frac{-5}{2}ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} - \frac{ln(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{7*\frac{-5}{2}ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{7*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)} + \frac{7ln^{2}(sqrt(xsqrt(2x)))*-2*\frac{1}{2}}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}(2x)(2x)^{\frac{1}{2}}} + \frac{-2ln^{2}(sqrt(xsqrt(2x)))}{8x^{3}sqrt(2x)^{2}} + \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8x^{2}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{2}} + \frac{ln^{2}(sqrt(xsqrt(2x)))*-2*2*\frac{1}{2}}{8x^{2}(2x)^{\frac{3}{2}}(2x)^{\frac{1}{2}}} - \frac{5*-3ln(sqrt(xsqrt(2x)))}{2x^{4}} - \frac{5(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} - \frac{3*\frac{-3}{2}ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{8*2^{\frac{1}{2}}x^{\frac{3}{2}}(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(xsqrt(2x))^{2}} - \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{2}}x^{\frac{3}{2}}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-9}{4}ln(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{4}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{3}{4}}x^{\frac{9}{4}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{3}{4}}x^{\frac{9}{4}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - \frac{\frac{-9}{4}ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))*-(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{9}{4}}(xsqrt(2x))(xsqrt(2x))^{\frac{1}{2}}} - 12ln^{2}(sqrt(xsqrt(2x))) - \frac{12x*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{11*-3ln^{2}(sqrt(xsqrt(2x)))}{4x^{4}} + \frac{11*2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}} + \frac{3*\frac{-1}{2}}{4x^{\frac{3}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{1}{2}}} + \frac{3*-3(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4x^{\frac{1}{2}}(xsqrt(2x))^{2}(xsqrt(2x))^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}} + \frac{3*\frac{-1}{2}*2*\frac{1}{2}}{4x^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}(2x)^{\frac{3}{4}}(2x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} + \frac{3*-2(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{2^{\frac{1}{2}}x^{\frac{3}{2}}(xsqrt(2x))^{\frac{3}{2}}(xsqrt(2x))^{\frac{1}{2}}} - \frac{-3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2x^{4}} - \frac{(cos(x^{2})sqrt(xsqrt(2x)) + x*-sin(x^{2})*2xsqrt(xsqrt(2x)) + \frac{xcos(x^{2})(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{(xsqrt(2x))^{\frac{1}{2}}})}{2x^{3}(xcos(x^{2})sqrt(xsqrt(2x)))} + \frac{-3ln^{2}(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} + \frac{2ln(sqrt(xsqrt(2x)))(sqrt(2x) + \frac{x*2*\frac{1}{2}}{(2x)^{\frac{1}{2}}})*\frac{1}{2}}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{3}(sqrt(xsqrt(2x)))(xsqrt(2x))^{\frac{1}{2}}}\\=&\frac{-15ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{15ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)}{8x^{3}sqrt(xsqrt(2x))^{2}} + \frac{15ln(sqrt(xsqrt(2x)))sqrt(2x)}{4x^{3}sqrt(xsqrt(2x))^{2}} + \frac{113ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{16x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}cos(x^{2})sqrt(xsqrt(2x))} + \frac{99ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{37ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{3}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{23ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{15ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{15ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{7sqrt(2x)}{4x^{3}sqrt(xsqrt(2x))^{2}} + \frac{3sin(x^{2})sqrt(2x)}{2xcos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{9sqrt(2x)^{\frac{3}{2}}}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))^{3}} - \frac{15sqrt(2x)^{\frac{1}{2}}}{8*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))^{3}} - \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{11}{4}}sqrt(xsqrt(2x))^{2}} - \frac{ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}x^{\frac{9}{4}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{11}{4}}sqrt(xsqrt(2x))^{2}} + \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{5}{4}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{37sqrt(2x)}{8x^{3}sqrt(xsqrt(2x))^{2}} - \frac{29}{16x^{2}sqrt(xsqrt(2x))^{2}sqrt(2x)} + \frac{7ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16x^{\frac{5}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{5ln(sqrt(xsqrt(2x)))}{4x^{\frac{5}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} + \frac{133ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{3}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))}{x^{\frac{5}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{7}{2*2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{15ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{4*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{12xln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{12xln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2x^{3}sqrt(2x)^{2}} + \frac{11ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16x^{\frac{5}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} + \frac{ln(sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{9ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16x^{4}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{16x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}x^{\frac{9}{4}}sqrt(xsqrt(2x))^{2}sqrt(2x)^{\frac{1}{2}}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{15}{4}}sqrt(2x)^{\frac{1}{2}}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}x^{\frac{13}{4}}sqrt(2x)^{\frac{3}{2}}} - \frac{2ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} + \frac{sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{11}{4}}sqrt(xsqrt(2x))^{2}} + \frac{1}{16*2^{\frac{1}{4}}x^{\frac{9}{4}}sqrt(xsqrt(2x))^{2}sqrt(2x)^{\frac{1}{2}}} - \frac{2xsqrt(2x)}{sqrt(xsqrt(2x))^{2}} - \frac{2xsin^{2}(x^{2})sqrt(2x)}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{10xsin^{2}(x^{2})sqrt(2x)}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} + \frac{7sin(x^{2})}{2*2^{\frac{1}{2}}xcos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{5x^{2}sin^{2}(x^{2})}{cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{13}{16x^{2}sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{sqrt(2x)^{\frac{1}{2}}}{8*2^{\frac{3}{4}}x^{\frac{11}{4}}sqrt(xsqrt(2x))^{2}} - \frac{9}{16*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(xsqrt(2x))^{2}sqrt(2x)^{2}} - \frac{10xsqrt(2x)}{sqrt(xsqrt(2x))^{2}} + \frac{155ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{16x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{36xln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{3}{8*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{3sin(x^{2})sqrt(2x)}{2xcos(x^{2})sqrt(xsqrt(2x))^{2}} + \frac{21ln(xcos(x^{2})sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{16x^{\frac{7}{2}}sqrt(xsqrt(2x))} - \frac{3}{16*2^{\frac{1}{2}}x^{\frac{3}{2}}sqrt(2x)^{2}sqrt(xsqrt(2x))^{2}} - \frac{3}{32xsqrt(xsqrt(2x))^{2}sqrt(2x)^{3}} - \frac{30x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} - \frac{5x^{2}}{sqrt(xsqrt(2x))^{2}sqrt(2x)} - \frac{6x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{sqrt(xsqrt(2x))} - \frac{2}{2^{\frac{1}{2}}x^{3}sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{16x^{3}ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{12ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{3}{16x^{\frac{3}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{7}{2}}} - \frac{1}{2*2^{\frac{1}{2}}x^{3}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} - \frac{17}{8x^{\frac{5}{2}}sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{16x^{3}ln(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{2^{\frac{1}{2}}cos^{3}(x^{2})sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))} + \frac{sin(x^{2})}{x^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} + \frac{5sin(x^{2})}{2*2^{\frac{1}{2}}xcos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{36xln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} + \frac{3sin(x^{2})}{2*2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{3}} - \frac{48x^{3}ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{48x^{3}ln(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{2^{\frac{1}{2}}cos^{3}(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{1}{2}}} - \frac{ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}x^{\frac{9}{4}}sqrt(xsqrt(2x))^{2}sqrt(2x)^{\frac{1}{2}}} - \frac{30x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} + \frac{2sin(x^{2})}{x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{3}{2}}} - \frac{48x^{\frac{5}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{5sin(x^{2})}{2cos(x^{2})sqrt(xsqrt(2x))^{2}sqrt(2x)} + \frac{10sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{3}{2}}cos(x^{2})sqrt(2x)} + \frac{2sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{3}{2}}cos(x^{2})sqrt(2x)} - \frac{7sqrt(2x)^{\frac{1}{2}}}{4x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{2sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{x^{\frac{3}{2}}cos(x^{2})sqrt(xsqrt(2x))} - \frac{48x^{\frac{5}{2}}ln(sqrt(xsqrt(2x)))sin^{3}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{3}(x^{2})sqrt(xsqrt(2x))} - \frac{6x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{2}(x^{2})sqrt(xsqrt(2x))} - \frac{16x^{\frac{5}{2}}ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos(x^{2})sqrt(xsqrt(2x))} - \frac{16x^{\frac{5}{2}}ln(sqrt(xsqrt(2x)))sin^{3}(x^{2})sqrt(2x)^{\frac{1}{2}}}{cos^{3}(x^{2})sqrt(xsqrt(2x))} + \frac{3ln(sqrt(xsqrt(2x)))sin(x^{2})sqrt(2x)^{\frac{1}{2}}}{2x^{\frac{3}{2}}cos(x^{2})sqrt(xsqrt(2x))} + \frac{ln(sqrt(xsqrt(2x)))sin(x^{2})}{xcos(x^{2})sqrt(2x)^{2}} - \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{11}{4}}sqrt(xsqrt(2x))^{2}} - \frac{33sqrt(2x)^{\frac{1}{2}}}{16*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))^{3}} - \frac{12ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} + \frac{19ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{15ln^{2}(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{16x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{171ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{1}{8*2^{\frac{1}{2}}x^{2}sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} + \frac{sin(x^{2})}{4*2^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{\frac{5}{2}}sqrt(xsqrt(2x))} - \frac{3}{2*2^{\frac{1}{2}}x^{2}sqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} + \frac{6xln(sqrt(xsqrt(2x)))}{sqrt(2x)^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} - \frac{3}{16x^{\frac{3}{2}}sqrt(2x)^{\frac{1}{2}}sqrt(xsqrt(2x))^{3}} - \frac{x^{2}sin^{2}(x^{2})}{cos^{2}(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{13}{8x^{\frac{5}{2}}sqrt(2x)^{\frac{3}{2}}sqrt(xsqrt(2x))} - \frac{35}{16*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} + \frac{ln(sqrt(xsqrt(2x)))sqrt(2x)^{\frac{1}{2}}}{4*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(xsqrt(2x))} + \frac{53ln(sqrt(xsqrt(2x)))}{8x^{3}sqrt(2x)^{2}} + \frac{ln(sqrt(xsqrt(2x)))}{16x^{2}sqrt(2x)^{4}} - \frac{19ln(xcos(x^{2})sqrt(xsqrt(2x)))ln(sqrt(xsqrt(2x)))}{4x^{4}} + \frac{27ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{3ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} + \frac{ln(sqrt(xsqrt(2x)))}{8*2^{\frac{3}{4}}x^{\frac{15}{4}}sqrt(2x)^{\frac{1}{2}}} + \frac{ln(xcos(x^{2})sqrt(xsqrt(2x)))}{32x^{2}sqrt(2x)^{4}} - \frac{21}{32x^{\frac{3}{2}}sqrt(xsqrt(2x))^{3}sqrt(2x)^{\frac{1}{2}}} - \frac{ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{15}{4}}sqrt(2x)^{\frac{1}{2}}} - \frac{ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}x^{\frac{13}{4}}sqrt(2x)^{\frac{3}{2}}} - \frac{17}{16*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} + \frac{17ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} - \frac{19ln^{2}(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} - \frac{63}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{6xln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})sqrt(2x)^{2}} - \frac{sin(x^{2})}{2cos(x^{2})sqrt(2x)sqrt(xsqrt(2x))^{2}} + \frac{6sin(x^{2})}{xcos(x^{2})sqrt(2x)^{2}} - \frac{x^{2}}{sqrt(2x)sqrt(xsqrt(2x))^{2}} - \frac{2ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{3}{2}}cos(x^{2})sqrt(2x)} + \frac{15ln^{2}(sqrt(xsqrt(2x)))}{32*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{4ln(sqrt(xsqrt(2x)))sin(x^{2})}{2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{2}cos(x^{2})} + \frac{ln(sqrt(xsqrt(2x)))}{8*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} + \frac{2ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{24x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(2x)} + \frac{4sin(x^{2})}{x^{2}cos(x^{2})} + \frac{9}{16*2^{\frac{1}{4}}x^{\frac{7}{4}}sqrt(xsqrt(2x))^{3}} - \frac{6ln(sqrt(xsqrt(2x)))sin(x^{2})}{x^{2}cos(x^{2})} - \frac{51}{8x^{3}sqrt(2x)^{2}} + \frac{33ln(xcos(x^{2})sqrt(xsqrt(2x)))}{16x^{3}sqrt(2x)^{2}} - \frac{9}{2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(xsqrt(2x))^{2}} - \frac{21}{8*2^{\frac{1}{2}}x^{\frac{7}{2}}sqrt(2x)} + \frac{ln(sqrt(xsqrt(2x)))}{8*2^{\frac{3}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(2x)^{\frac{3}{2}}} + \frac{3ln(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{2}}x^{\frac{5}{2}}sqrt(2x)^{3}} + \frac{2x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)} + \frac{sin(x^{2})}{2*2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(2x)^{3}} + \frac{22x^{\frac{1}{2}}ln(sqrt(xsqrt(2x)))}{2^{\frac{1}{2}}sqrt(2x)} - \frac{24x^{\frac{3}{2}}}{2^{\frac{1}{2}}sqrt(xsqrt(2x))^{2}} - \frac{24x^{\frac{3}{2}}sin^{2}(x^{2})}{2^{\frac{1}{2}}cos^{2}(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{96x^{2}ln^{2}(sqrt(xsqrt(2x)))sin(x^{2})}{cos(x^{2})} + \frac{3sin(x^{2})}{4*2^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))sqrt(2x)^{\frac{5}{2}}} - \frac{9sin(x^{2})}{2^{\frac{1}{2}}x^{\frac{1}{2}}cos(x^{2})sqrt(xsqrt(2x))^{2}} - \frac{96x^{2}ln^{2}(sqrt(xsqrt(2x)))sin^{3}(x^{2})}{cos^{3}(x^{2})} - \frac{9}{32x^{2}sqrt(2x)^{4}} + 12ln(sqrt(xsqrt(2x))) - \frac{128x^{4}ln^{2}(sqrt(xsqrt(2x)))sin^{2}(x^{2})}{cos^{2}(x^{2})} - \frac{96x^{4}ln^{2}(sqrt(xsqrt(2x)))sin^{4}(x^{2})}{cos^{4}(x^{2})} - \frac{9ln(sqrt(xsqrt(2x)))}{4*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{4x^{3}sqrt(2x)^{2}} + \frac{91ln(xcos(x^{2})sqrt(xsqrt(2x)))}{32x^{4}} + \frac{235ln(sqrt(xsqrt(2x)))}{16x^{4}} - 32x^{4}ln^{2}(sqrt(xsqrt(2x))) + \frac{9ln(xcos(x^{2})sqrt(xsqrt(2x)))}{8*2^{\frac{5}{4}}*2^{\frac{1}{2}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} - \frac{277ln^{2}(sqrt(xsqrt(2x)))}{32x^{4}} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{16*2^{\frac{1}{4}}*2^{\frac{1}{2}}x^{\frac{15}{4}}sqrt(2x)^{\frac{1}{2}}} + \frac{ln^{2}(sqrt(xsqrt(2x)))}{32*2^{\frac{1}{4}}x^{\frac{13}{4}}sqrt(2x)^{\frac{3}{2}}} + \frac{9ln(sqrt(xsqrt(2x)))}{4*2^{\frac{3}{4}}x^{\frac{13}{4}}sqrt(xsqrt(2x))} + \frac{5ln(sqrt(xsqrt(2x)))}{2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} - \frac{ln^{2}(sqrt(xsqrt(2x)))}{2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} + \frac{3ln(xcos(x^{2})sqrt(xsqrt(2x)))}{2*2^{\frac{3}{2}}*2^{\frac{1}{2}}x^{4}} - 12ln^{2}(sqrt(xsqrt(2x))) - \frac{25}{8x^{4}}\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！