Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}\right)}{dx}\\=&({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))\\=&\frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{2x^{\frac{1}{2}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{2x^{\frac{1}{2}}}\right)}{dx}\\=&\frac{\frac{-1}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{2x^{\frac{3}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)}{2x^{\frac{1}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*\frac{1}{2}}{2x^{\frac{1}{2}}(x)^{\frac{1}{2}}} + \frac{\frac{-1}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{2x^{\frac{3}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{2x^{\frac{1}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{\frac{-1}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{2x^{\frac{3}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)}{2x^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{2x^{\frac{1}{2}}(x)^{\frac{1}{2}}}\\=&\frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{4x} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{4x^{\frac{3}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{4x} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{4x} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{4x^{\frac{3}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{4x} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x}\right)}{dx}\\=&\frac{-\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{4x^{\frac{5}{2}}} - \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)}{4x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*\frac{1}{2}}{4x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln(sqrt(x))sqrt(x)}{4x({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}sqrt(x)}{4x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))*\frac{1}{2}}{4x(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))sqrt(x)^{2}}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}sqrt(x)^{2}}{4x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{4x(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{2x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)^{2}}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)^{2}}{2x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{2x(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{2x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{2x({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{2x(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{4x({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{4x(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}({sqrt(x)}^{sqrt(x)})}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{4x({sqrt(x)}^{sqrt(x)})} - \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{4x^{\frac{5}{2}}} - \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)}{4x^{\frac{3}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{4x^{\frac{3}{2}}(x)^{\frac{1}{2}}} - \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{4x^{\frac{5}{2}}} - \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})}{4x^{\frac{3}{2}}} - \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{4x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{2x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)^{2}}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2(x)^{\frac{1}{2}}*\frac{1}{2}}{4x(x)^{\frac{1}{2}}} + \frac{3*-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{2}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))}{4x}\\=&\frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)}{2x^{\frac{3}{2}}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{7{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{3}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{\frac{3}{2}}sqrt(x)} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))}{4x} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{8x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{3}}{8x^{\frac{3}{2}}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)}{2x^{\frac{3}{2}}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{7{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{3}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{\frac{3}{2}}sqrt(x)} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))}{4x} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{8x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{3}}{8x^{\frac{3}{2}}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x}\right)}{dx}\\=&\frac{3*\frac{-5}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{7}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)}{8x^{\frac{5}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*\frac{1}{2}}{8x^{\frac{5}{2}}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{8x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln(sqrt(x))sqrt(x)}{8x^{2}({sqrt(x)}^{sqrt(x)})} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}sqrt(x)}{8x^{2}(sqrt(x))(x)^{\frac{1}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))*\frac{1}{2}}{8x^{2}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}sqrt(x)^{2}}{8x^{2}(sqrt(x))(x)^{\frac{1}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{2}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{4x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)^{2}}{4x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)^{2}}{4x^{2}(sqrt(x))(x)^{\frac{1}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{4x^{2}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln(sqrt(x))sqrt(x)}{4x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})*\frac{1}{2}sqrt(x)}{4x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))*\frac{1}{2}}{4x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*2ln(sqrt(x))*\frac{1}{2}sqrt(x)^{2}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}sqrt(x)^{2}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)^{2}}{4x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})*2(x)^{\frac{1}{2}}*\frac{1}{2}}{4x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)}{2x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))sqrt(x)}{2x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}sqrt(x)}{2x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))*\frac{1}{2}}{2x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{11*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{5}{2}}} + \frac{11({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{2}(sqrt(x))(x)^{\frac{1}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{8x^{2}({sqrt(x)}^{sqrt(x)})} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{8x^{2}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{3}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*3ln^{2}(sqrt(x))*\frac{1}{2}sqrt(x)^{3}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))*3(x)*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}sqrt(x)^{3}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))*3(x)*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)^{2}}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{7*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{5}{2}}} + \frac{7({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)}{8x^{\frac{3}{2}}} + \frac{7{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{4x^{2}({sqrt(x)}^{sqrt(x)})} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{4x^{2}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}sqrt(x)^{3}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*3(x)*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))*2ln({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))sqrt(x)^{2}}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))ln(sqrt(x))}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})*\frac{1}{2}}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{9*\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{9({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{2x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))}{2x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{2x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{\frac{5}{2}}sqrt(x)} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))}{4x^{\frac{3}{2}}sqrt(x)} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*-\frac{1}{2}}{4x^{\frac{3}{2}}(x)(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{8x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}({sqrt(x)}^{sqrt(x)})}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{8x^{2}({sqrt(x)}^{sqrt(x)})} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{3}({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*3ln^{2}({sqrt(x)}^{sqrt(x)})({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{8x^{\frac{3}{2}}({sqrt(x)}^{sqrt(x)})} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln^{2}(sqrt(x))}{4x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2ln(sqrt(x))*\frac{1}{2}}{4x(sqrt(x))(x)^{\frac{1}{2}}} + \frac{3*\frac{-5}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{7}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{8x^{\frac{5}{2}}(x)^{\frac{1}{2}}} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{8x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)^{2}}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*2(x)^{\frac{1}{2}}*\frac{1}{2}}{8x^{2}(x)^{\frac{1}{2}}} + \frac{3*\frac{-5}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{7}{2}}} + \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))}))}{8x^{\frac{5}{2}}({sqrt(x)}^{sqrt(x)})} - \frac{3*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{4x^{3}} - \frac{3({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))ln(sqrt(x))}{4x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*\frac{1}{2}}{4x^{2}(sqrt(x))(x)^{\frac{1}{2}}} + \frac{\frac{-3}{2}{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))sqrt(x)^{3}}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}*3(x)*\frac{1}{2}}{8x^{\frac{3}{2}}(x)^{\frac{1}{2}}} - \frac{9*-2{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{8x^{3}} - \frac{9({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))}{8x^{2}} + \frac{-{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{2}} + \frac{({{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln({sqrt(x)}^{sqrt(x)}) + \frac{(sqrt(x))(({sqrt(x)}^{sqrt(x)}((\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})ln(sqrt(x)) + \frac{(sqrt(x))(\frac{\frac{1}{2}}{(x)^{\frac{1}{2}}})}{(sqrt(x))})))}{({sqrt(x)}^{sqrt(x)})}))}{4x}\\=&\frac{-15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{16x^{\frac{7}{2}}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{16x^{3}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{16x^{3}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{8x^{3}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{8x^{2}} + \frac{11{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{4x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{\frac{5}{2}}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)}{2x^{\frac{5}{2}}} - \frac{33{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{8x^{\frac{5}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)}{16x^{2}} - \frac{21{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{2}}{16x^{2}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{2}}{2x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{16x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{16x^{3}} + \frac{7{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{3}(sqrt(x))sqrt(x)^{3}}{16x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{3}}{16x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))sqrt(x)^{3}}{4x^{2}} + \frac{7{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{2}}{16x^{2}} + \frac{27{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{2}}{16x^{2}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))sqrt(x)^{3}}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{3}}{2x^{2}} + \frac{33{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{2}}{16x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{3}}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{2x^{2}sqrt(x)} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{4x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{4x^{\frac{3}{2}}sqrt(x)} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{3}({sqrt(x)}^{sqrt(x)})sqrt(x)}{16x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{5{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{2x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{4}(sqrt(x))sqrt(x)^{4}}{16x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)^{4}}{4x^{2}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{3}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)}{8x^{\frac{5}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})sqrt(x)}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)^{4}}{8x^{2}} + \frac{13{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{16x^{2}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln^{2}({sqrt(x)}^{sqrt(x)})}{4x^{2}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln(sqrt(x))}{8x^{\frac{5}{2}}} - \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{\frac{5}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})sqrt(x)^{2}}{8x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})sqrt(x)^{3}}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)^{4}}{4x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})ln^{2}(sqrt(x))}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))sqrt(x)}{8x^{\frac{3}{2}}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{8x^{3}} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}(sqrt(x))}{16x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{\frac{3}{2}}sqrt(x)} - \frac{27{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{16x} + \frac{9{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{8x^{2}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{4x^{\frac{5}{2}}sqrt(x)} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{2x^{\frac{3}{2}}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{2}({sqrt(x)}^{sqrt(x)})}{16x^{3}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}({sqrt(x)}^{sqrt(x)})}{8x^{\frac{5}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln(sqrt(x))}{x^{2}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{4}({sqrt(x)}^{sqrt(x)})}{16x^{2}} - \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{16x^{\frac{7}{2}}} + \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{2}}{16x^{3}} - \frac{15{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln({sqrt(x)}^{sqrt(x)})}{16x^{\frac{7}{2}}} - \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{3}}{8x^{\frac{5}{2}}} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)^{4}}{16x^{2}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}ln^{3}(sqrt(x))}{16x} + \frac{{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}sqrt(x)}{8x^{\frac{3}{2}}} + \frac{19{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{16x^{2}} + \frac{43{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{16x^{3}} + \frac{3{{sqrt(x)}^{sqrt(x)}}^{sqrt(x)}}{16x}\\ \end{split}\end{equation} \]