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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{{x}^{sin(\frac{1}{x})}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{{x}^{sin(\frac{1}{x})}}\right)}{dx}\\=&({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))\\=&\frac{-{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x}\right)}{dx}\\=&\frac{--2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} - \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{2}(x)} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{2}x^{2}} + \frac{-{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x(x)} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{xx^{2}} + \frac{-{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x}\\=&\frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{4}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{4}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{4}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{4}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{4}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{4}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}}\right)}{dx}\\=&\frac{2*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} + \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{3}(x)} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{4}} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{4}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{4}(x)} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{2*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}(x)} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{3}x^{2}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{4}} + \frac{{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{4}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{4}(x)} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{2*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{2({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{3}(x)} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{3}x^{2}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{2*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{2({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{3}} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{3}(x)} - \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{3*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{3}(x)} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} - \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{4}} - \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})}{x^{4}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})}{x^{4}(x)} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{-2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{2}(x)} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{2}x^{2}} + \frac{-2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{2}(x)} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{2}x^{2}} + \frac{-2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{2}(\frac{1}{x})}{x^{2}(x)} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{2}x^{2}} + \frac{2*-2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{2({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{2{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{2}} + \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{2}(x)} + \frac{2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{2}x^{2}} + \frac{-2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{3}} + \frac{({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})*-1}{x^{2}x^{2}} - \frac{-3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{3}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{3}(x)} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)*-sin(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{-2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))sin(\frac{1}{x})}{x^{2}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})*-1}{x^{2}x^{2}} - \frac{-2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} - \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}} - \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x^{2}} + \frac{-2{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x^{2}} + \frac{{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x^{2}}\\=&\frac{-6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} + \frac{14{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{13{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{7{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{10{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{4}} - \frac{5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{5}} + \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos(\frac{1}{x})}{x^{6}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{3}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{3}} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{3}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{4}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} + \frac{14{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{13{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{7{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{10{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{4}} - \frac{5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{5}} + \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos(\frac{1}{x})}{x^{6}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{3}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{3}} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{3}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{4}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}}\right)}{dx}\\=&\frac{-6*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} - \frac{6({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{4}(x)} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{6*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{6({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{6{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{9*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{9({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} + \frac{9{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} + \frac{9{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{6*-5{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{6({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{6{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{9*-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{9({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{9*-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} + \frac{9({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{4}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{4}(x)} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{14*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{5}} + \frac{14({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{14{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{14{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{4}(x)} + \frac{14{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{3*-6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} + \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}(x)} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{6}x^{2}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{6}x^{2}} - \frac{-6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)cos^{3}(\frac{1}{x})}{x^{6}(x)} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)*-3cos^{2}(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{6}x^{2}} + \frac{3*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos(\frac{1}{x})*-cos^{2}(\frac{1}{x})}{x^{5}x^{2}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*5ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{6}(x)} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)*-3cos^{2}(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{6}x^{2}} + \frac{9*-5{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{9({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos(\frac{1}{x})*-cos^{2}(\frac{1}{x})}{x^{5}x^{2}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{13*-5{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{13({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{13{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{13{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{13{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{7*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{7({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{7{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{7{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{7{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{12*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{12({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{12{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{3*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{9*-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{9({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{9{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{24*-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{24({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{24{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{3*-6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} + \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{6}(x)} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{6}x^{2}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{6}x^{2}} + \frac{2*-5{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{2({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}*2ln(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{-6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{6}} - \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*6ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{6}(x)} - \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)*-3cos^{2}(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{6}x^{2}} + \frac{3*-5{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*5ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos(\frac{1}{x})*-cos^{2}(\frac{1}{x})}{x^{5}x^{2}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{3*-5{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-4{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*4ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{6*-4{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{6({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{4}(x)} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos(\frac{1}{x})*-cos(\frac{1}{x})}{x^{4}x^{2}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{3*-5{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{6}} - \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{5}(x)} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{2*-5{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{2({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{(2sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)}))ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{5}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}*3ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{5}(x)} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)*-2cos(\frac{1}{x})sin(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-4{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} - \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{4}} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)cos(\frac{1}{x})}{x^{4}(x)} - \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{10*-4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{5}} - \frac{10({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{10{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{10{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{4}(x)} - \frac{10{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{4*-4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{5}} - \frac{4({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{4}} - \frac{4{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))cos(\frac{1}{x})}{x^{4}} - \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{5*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{6}} - \frac{5({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{5{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{5}(x)} - \frac{5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{6*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{6}} + \frac{6({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} + \frac{6{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})}{x^{5}} + \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})}{x^{5}(x)} + \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-5{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{6}} - \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{5}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{2}(\frac{1}{x})}{x^{5}(x)} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-5{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{6}} - \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin(\frac{1}{x})}{x^{5}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin(\frac{1}{x})}{x^{5}(x)} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})*-1}{x^{5}x^{2}} + \frac{-6{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos(\frac{1}{x})}{x^{7}} + \frac{({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}ln^{2}(x)cos(\frac{1}{x})}{x^{6}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))ln^{2}(x)cos(\frac{1}{x})}{x^{6}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}*2ln(x)cos(\frac{1}{x})}{x^{6}(x)} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)*-sin(\frac{1}{x})*-1}{x^{6}x^{2}} + \frac{2*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} + \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}(x)} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{3*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{4}} - \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{3}(x)} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{3*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{4}} - \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{2}(\frac{1}{x})}{x^{3}(x)} - \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{6*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} - \frac{6({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{6{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{3}} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}(x)} - \frac{6{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{3*-3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{4}} - \frac{3({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{4*-4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{5}} + \frac{4({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{4}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{4}(x)} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{3}(\frac{1}{x})}{x^{3}(x)} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*3sin^{2}(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{3*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{3}(\frac{1}{x})}{x^{3}(x)} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*3sin^{2}(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{9*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{9({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{9{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{3}(x)} + \frac{9{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{-3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin^{2}(\frac{1}{x})}{x^{4}} + \frac{({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))sin^{2}(\frac{1}{x})}{x^{3}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{-3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*3ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{3}(x)} + \frac{{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)*3sin^{2}(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{3*-3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}*2ln(x)sin^{2}(\frac{1}{x})}{x^{3}(x)} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{3*-3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} + \frac{3({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{3}} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}(x)} + \frac{3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{2*-3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{4}} + \frac{2({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{(2sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)}))sin(\frac{1}{x})}{x^{3}} + \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{2*-4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{5}} - \frac{2({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{(2sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)}))ln(x)cos(\frac{1}{x})}{x^{4}} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}cos(\frac{1}{x})}{x^{4}(x)} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} + \frac{4*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{4}} + \frac{4({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} + \frac{4{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))sin(\frac{1}{x})}{x^{3}} + \frac{4{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})*-1}{x^{3}x^{2}} + \frac{2*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{4}} + \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))sin^{2}(\frac{1}{x})}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*2sin(\frac{1}{x})cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{2*-4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{5}} - \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{4}} - \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))cos(\frac{1}{x})}{x^{4}} - \frac{2{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}*-sin(\frac{1}{x})*-1}{x^{4}x^{2}} - \frac{-5{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)sin(\frac{1}{x})}{x^{6}} - \frac{({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)})){x}^{sin(\frac{1}{x})}ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)}))ln(x)sin(\frac{1}{x})}{x^{5}} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{5}(x)} - \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})*-1}{x^{5}x^{2}} - \frac{3*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{4}} - \frac{3({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))sin(\frac{1}{x})}{x^{3}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})*-1}{x^{3}x^{2}} - \frac{3*-3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} - \frac{3({x}^{(2sin(\frac{1}{x}))}((\frac{2cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(2sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} - \frac{3{x}^{(2sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x^{3}} + \frac{2*-3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} + \frac{2({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{2{x}^{sin(\frac{1}{x})}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x^{3}} + \frac{-3{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} + \frac{({x}^{(3sin(\frac{1}{x}))}((\frac{3cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(3sin(\frac{1}{x}))(1)}{(x)})){x}^{{x}^{sin(\frac{1}{x})}}}{x^{3}} + \frac{{x}^{(3sin(\frac{1}{x}))}({x}^{{x}^{sin(\frac{1}{x})}}((({x}^{sin(\frac{1}{x})}((\frac{cos(\frac{1}{x})*-1}{x^{2}})ln(x) + \frac{(sin(\frac{1}{x}))(1)}{(x)})))ln(x) + \frac{({x}^{sin(\frac{1}{x})})(1)}{(x)}))}{x^{3}}\\=&\frac{24{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} + \frac{36{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{44{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{36{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{44{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{44{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} - \frac{70{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{5}} + \frac{36{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{30{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{36{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{90{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{131{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{71{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{156{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{24{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{72{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{192{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{19{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{96{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{12{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{30{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{30{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{24{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{48{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{36{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{19{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{36{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} + \frac{24{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} + \frac{82{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{5}} + \frac{12{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} + \frac{96{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{33{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}cos(\frac{1}{x})}{x^{5}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{8}} - \frac{36{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{18{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{8}} + \frac{60{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{8}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{4}(\frac{1}{x})}{x^{8}} - \frac{4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos^{3}(\frac{1}{x})}{x^{7}} + \frac{7{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{4}(\frac{1}{x})}{x^{8}} - \frac{28{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{3}(\frac{1}{x})}{x^{7}} - \frac{55{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{13{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{3}(\frac{1}{x})}{x^{7}} + \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} + \frac{42{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{3}(x)cos^{3}(\frac{1}{x})}{x^{7}} + \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{7}(x)cos^{4}(\frac{1}{x})}{x^{8}} - \frac{24{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)sin(\frac{1}{x})cos^{3}(\frac{1}{x})}{x^{7}} - \frac{33{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{7}} - \frac{24{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{36{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin^{2}(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{9{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{4}(x)cos^{3}(\frac{1}{x})}{x^{7}} + \frac{48{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{78{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{120{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{20{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{120{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{14{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{16{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{4{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{28{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{36{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{8}} + \frac{12{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{24{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{3}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{84{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{84{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{30{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{2}(x)cos^{2}(\frac{1}{x})}{x^{6}} + \frac{4{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{7}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{8}} - \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{7}(x)sin(\frac{1}{x})cos^{3}(\frac{1}{x})}{x^{7}} + \frac{{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{8}(x)cos^{4}(\frac{1}{x})}{x^{8}} + \frac{6{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)sin^{2}(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{6}(x)cos^{3}(\frac{1}{x})}{x^{7}} + \frac{12{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin(\frac{1}{x})cos^{2}(\frac{1}{x})}{x^{6}} - \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{5}(x)sin^{3}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{12{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{12{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(3sin(\frac{1}{x}))}ln^{5}(x)cos^{3}(\frac{1}{x})}{x^{7}} + \frac{6{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{2}(\frac{1}{x})}{x^{8}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{6}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{8}} - \frac{24{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{6}} - \frac{12{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{6}} + \frac{30{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{6}} + \frac{30{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{2}(\frac{1}{x})}{x^{6}} - \frac{18{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{6}} + \frac{6{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(3sin(\frac{1}{x}))}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{6}} - \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{5}} - \frac{21{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{5}} - \frac{14{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}cos(\frac{1}{x})}{x^{5}} - \frac{10{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{5}} - \frac{10{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})cos(\frac{1}{x})}{x^{5}} + \frac{51{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{6}} - \frac{48{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{6}} - \frac{22{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{6}} + \frac{7{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{7}} - \frac{36{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{6}} + \frac{30{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{6}} - \frac{12{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)cos(\frac{1}{x})}{x^{7}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin(\frac{1}{x})}{x^{6}} + \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln^{2}(x)cos(\frac{1}{x})}{x^{7}} - \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)cos^{2}(\frac{1}{x})}{x^{8}} + \frac{{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)cos(\frac{1}{x})}{x^{7}} - \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)cos^{2}(\frac{1}{x})}{x^{8}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln^{2}(x)sin(\frac{1}{x})}{x^{8}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} + \frac{11{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{11{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{22{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} + \frac{11{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{4}} - \frac{18{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)cos(\frac{1}{x})}{x^{5}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{4}} - \frac{18{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{4}} - \frac{54{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{4}} - \frac{6{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin^{2}(\frac{1}{x})}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{4}} - \frac{18{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{4}} - \frac{18{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} - \frac{12{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{4}} + \frac{14{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{5}} - \frac{24{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{4}} - \frac{12{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{4}} + \frac{15{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}cos(\frac{1}{x})}{x^{5}} + \frac{9{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}ln(x)sin(\frac{1}{x})}{x^{6}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{4}(\frac{1}{x})}{x^{4}} + \frac{7{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{4}(\frac{1}{x})}{x^{4}} + \frac{28{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin^{3}(\frac{1}{x})}{x^{4}} + \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{4}(\frac{1}{x})}{x^{4}} + \frac{24{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{30{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{9{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}sin^{2}(\frac{1}{x})}{x^{4}} + \frac{15{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin^{2}(\frac{1}{x})}{x^{4}} + \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin^{3}(\frac{1}{x})}{x^{4}} - \frac{9{x}^{{x}^{sin(\frac{1}{x})}}{x}^{sin(\frac{1}{x})}sin(\frac{1}{x})}{x^{6}} + \frac{{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{4}(x)sin^{4}(\frac{1}{x})}{x^{4}} + \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{3}(x)sin^{3}(\frac{1}{x})}{x^{4}} + \frac{6{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln^{2}(x)sin^{2}(\frac{1}{x})}{x^{4}} + \frac{4{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)sin(\frac{1}{x})}{x^{4}} + \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(3sin(\frac{1}{x}))}sin(\frac{1}{x})}{x^{4}} - \frac{3{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(3sin(\frac{1}{x}))}ln(x)cos(\frac{1}{x})}{x^{5}} + \frac{9{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{4}} - \frac{2{x}^{{x}^{sin(\frac{1}{x})}}{x}^{(2sin(\frac{1}{x}))}ln(x)sin(\frac{1}{x})}{x^{6}} - \frac{3{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{6}} + \frac{{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}ln(x)cos(\frac{1}{x})}{x^{7}} + \frac{11{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}sin(\frac{1}{x})}{x^{4}} + \frac{11{x}^{(2sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} - \frac{6{x}^{(3sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} - \frac{6{x}^{sin(\frac{1}{x})}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}} + \frac{{x}^{(4sin(\frac{1}{x}))}{x}^{{x}^{sin(\frac{1}{x})}}}{x^{4}}\\ \end{split}\end{equation} \]