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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {{sin(x)}^{sin(x)}}^{sin(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-sin(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{2}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x)}{(sin(x))} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos^{2}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*-2cos(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin(x)cos^{2}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{2}(x)cos^{2}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*2sin(x)cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{2}(x)cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{2}(x)cos^{2}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2sin(x)cos(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)*-2cos(x)sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)}{({sin(x)}^{sin(x)})} - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{2}(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{2}(x)}{(sin(x))} - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2sin(x)cos(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{2}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}*2sin(x)cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)*-2cos(x)sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}*2sin(x)cos(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos^{3}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{3}(x)}{sin(x)} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos^{3}(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos^{3}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{3}(x)}{sin(x)} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos^{3}(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*3ln^{2}({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x)}{(sin(x))} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})cos^{3}(x)}{(sin(x))} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + 9({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos^{3}(x) + \frac{9{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin(x)cos^{3}(x) + \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))cos(x)cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))cos(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x)}{(sin(x))} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x)}{(sin(x))} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 15({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos^{3}(x) + \frac{15{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x)}{(sin(x))} - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 9({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-3cos^{2}(x)sin(x) - 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) - \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)*-sin(x) + \frac{2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))cos^{3}(x)}{sin(x)} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*-cos(x)cos^{3}(x)}{sin^{2}(x)} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*-3cos^{2}(x)sin(x)}{sin(x)} + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin^{2}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin^{2}(x)cos(x)}{(sin(x))} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*2sin(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2ln(sin(x))cos(x)sin^{2}(x)cos^{3}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))*2sin(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)*-3cos^{2}(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*3ln^{2}(sin(x))cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos(x)}{({sin(x)}^{sin(x)})} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)*-sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{3}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{3}(x)cos(x)}{(sin(x))} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*3sin^{2}(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)*-sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{3}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) - 7({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos(x) - \frac{7{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos(x)}{(sin(x))} - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-sin(x) - 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{3}(x)cos(x) - \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{3}(x)cos(x)}{(sin(x))} - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*3sin^{2}(x)cos(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)*-sin(x) - 10({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos(x)}{({sin(x)}^{sin(x)})} - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{3}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}*3sin^{2}(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{3}(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}*3sin^{2}(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)*-sin(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{4}({sin(x)}^{sin(x)})cos^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 5{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})cos^{4}(x) + 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{4}(x) + 36{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 16{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 30{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{4}(x) + 7{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))cos^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 30{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{2}(x) + \frac{8{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{4}(x)}{sin(x)} + 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))cos^{4}(x) + 44{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{4}(x) + 35{{sin(x)}^{sin(x)}}^{sin(x)}cos^{4}(x) - 62{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin(x)cos^{4}(x) + 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{2}(x)cos^{4}(x) + 42{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{4}(x) - 40{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{4}(x) - 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) - 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 48{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{4}(x) - 22{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) - 98{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - 22{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x)cos^{2}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 18{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) - 58{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{4}(x)cos^{2}(x) - \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{4}(x)}{sin^{2}(x)} - 24{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x)cos^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{3}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{3}(sin(x))sin^{3}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{3}(x)cos^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{4}(sin(x))sin^{4}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{4}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x)cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x)cos^{2}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{2}(x) - 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x)cos^{4}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x) - 8{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)cos^{4}(x) + 10{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {{sin(x)}^{sin(x)}}^{sin(x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-sin(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{2}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x)}{(sin(x))} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos^{2}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*-2cos(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos^{2}(x)}{({sin(x)}^{sin(x)})} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin(x)cos^{2}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)*-2cos(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{2}(x)cos^{2}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*2sin(x)cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)*-2cos(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{2}(x)cos^{2}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{2}(x)cos^{2}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2sin(x)cos(x)cos^{2}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)*-2cos(x)sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)}{({sin(x)}^{sin(x)})} - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{2}(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{2}(x)}{(sin(x))} - {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2sin(x)cos(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{2}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}*2sin(x)cos(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)*-2cos(x)sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{2}(x) - {{sin(x)}^{sin(x)}}^{sin(x)}*2sin(x)cos(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos^{3}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{3}(x)}{sin(x)} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos^{3}(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos^{3}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{3}(x)}{sin(x)} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)cos(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos^{3}(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)cos(x) - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos^{3}(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)cos(x)\right)}{dx}\\=&({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{3}({sin(x)}^{sin(x)})cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*3ln^{2}({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x)}{(sin(x))} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})sin(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})cos^{3}(x)}{(sin(x))} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + 9({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos^{3}(x) + \frac{9{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos^{3}(x)}{({sin(x)}^{sin(x)})} + 9{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-3cos^{2}(x)sin(x) + 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin(x)cos^{3}(x) + \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))cos(x)cos^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{3}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))cos(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x)}{(sin(x))} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 2{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x)}{(sin(x))} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 15({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos^{3}(x) + \frac{15{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos^{3}(x)}{(sin(x))} + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos^{3}(x) + 15{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x)}{(sin(x))} - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{2}(x)*-sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)*-3cos^{2}(x)sin(x) + 9({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos^{3}(x) + 9{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-3cos^{2}(x)sin(x) - 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})sin^{2}(x)cos(x) - \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2sin(x)cos(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{2}(x)*-sin(x) + \frac{2({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))cos^{3}(x)}{sin(x)} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*-cos(x)cos^{3}(x)}{sin^{2}(x)} + \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}*-3cos^{2}(x)sin(x)}{sin(x)} + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin^{2}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*2sin(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln(sin(x))sin^{2}(x)cos(x)}{({sin(x)}^{sin(x)})} - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos(x)sin^{2}(x)cos(x)}{(sin(x))} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))*2sin(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))ln^{2}(sin(x))sin^{2}(x)cos^{3}(x)}{({sin(x)}^{sin(x)})} + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*2ln(sin(x))cos(x)sin^{2}(x)cos^{3}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))*2sin(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)*-3cos^{2}(x)sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{3}(sin(x))sin^{3}(x)cos^{3}(x) + \frac{{{sin(x)}^{sin(x)}}^{sin(x)}*3ln^{2}(sin(x))cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{3}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}({sin(x)}^{sin(x)})sin(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln({sin(x)}^{sin(x)})({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))sin(x)cos(x)}{({sin(x)}^{sin(x)})} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin(x)*-sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln^{2}(sin(x))sin^{3}(x)cos(x) - \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}*2ln(sin(x))cos(x)sin^{3}(x)cos(x)}{(sin(x))} - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))*3sin^{2}(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{3}(x)*-sin(x) + 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{3}(x)cos^{3}(x) + \frac{3{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{3}(x)cos^{3}(x)}{(sin(x))} + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*3sin^{2}(x)cos(x)cos^{3}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)*-3cos^{2}(x)sin(x) - 7({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin(x)cos(x) - \frac{7{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin(x)cos(x)}{(sin(x))} - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos(x)cos(x) - 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin(x)*-sin(x) - 6({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln(sin(x))sin^{3}(x)cos(x) - \frac{6{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)sin^{3}(x)cos(x)}{(sin(x))} - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))*3sin^{2}(x)cos(x)cos(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{3}(x)*-sin(x) - 10({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}cos(x)cos(x) - 10{{sin(x)}^{sin(x)}}^{sin(x)}sin(x)*-sin(x) - ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))ln({sin(x)}^{sin(x)})cos(x) - \frac{{{sin(x)}^{sin(x)}}^{sin(x)}({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))}))cos(x)}{({sin(x)}^{sin(x)})} - {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})*-sin(x) + ({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{3}(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}*3sin^{2}(x)cos(x)cos^{3}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)*-3cos^{2}(x)sin(x) - 3({{sin(x)}^{sin(x)}}^{sin(x)}((cos(x))ln({sin(x)}^{sin(x)}) + \frac{(sin(x))(({sin(x)}^{sin(x)}((cos(x))ln(sin(x)) + \frac{(sin(x))(cos(x))}{(sin(x))})))}{({sin(x)}^{sin(x)})}))sin^{3}(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}*3sin^{2}(x)cos(x)cos(x) - 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{3}(x)*-sin(x)\\=&{{sin(x)}^{sin(x)}}^{sin(x)}ln^{4}({sin(x)}^{sin(x)})cos^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 5{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})cos^{4}(x) + 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{4}(x) + 36{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 16{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) + 30{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{4}(x) + 7{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))cos^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{4}(x) + 30{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x)cos^{2}(x) + \frac{8{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})cos^{4}(x)}{sin(x)} + 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))cos^{4}(x) + 44{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{4}(x) + 35{{sin(x)}^{sin(x)}}^{sin(x)}cos^{4}(x) - 62{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin(x)cos^{4}(x) + 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{2}(x)cos^{4}(x) + 42{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{4}(x) - 40{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{2}(x)cos^{2}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{4}(x) - 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln(sin(x))sin^{2}(x)cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{2}(x)cos^{4}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 8{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) - 12{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 48{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{4}(x) - 22{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin(x)cos^{2}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) - 98{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x)cos^{2}(x) - 22{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin(x)cos^{2}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x)cos^{2}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{4}(x) + 18{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x)cos^{2}(x) - 58{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x)cos^{2}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{4}(x)cos^{2}(x) - \frac{2{{sin(x)}^{sin(x)}}^{sin(x)}cos^{4}(x)}{sin^{2}(x)} - 24{{sin(x)}^{sin(x)}}^{sin(x)}cos^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x)cos^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{3}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{3}(sin(x))sin^{3}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln^{2}(sin(x))sin^{3}(x)cos^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln^{4}(sin(x))sin^{4}(x)cos^{4}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}(sin(x))sin^{4}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x)cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))ln({sin(x)}^{sin(x)})sin^{3}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x)cos^{4}(x) - 18{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x)cos^{2}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}ln^{3}({sin(x)}^{sin(x)})sin(x)cos^{2}(x) - 4{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})cos^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})ln(sin(x))sin^{3}(x) + 4{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x)cos^{4}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin^{3}(x) - 8{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))cos^{2}(x) + 7{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}({sin(x)}^{sin(x)})sin^{2}(x) + 6{{sin(x)}^{sin(x)}}^{sin(x)}ln(sin(x))sin^{4}(x) - 6{{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)cos^{2}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}ln({sin(x)}^{sin(x)})sin(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}ln^{2}(sin(x))sin^{4}(x) + {{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)cos^{4}(x) + 10{{sin(x)}^{sin(x)}}^{sin(x)}sin^{2}(x) + 3{{sin(x)}^{sin(x)}}^{sin(x)}sin^{4}(x)\\ \end{split}\end{equation} \]