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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{{x}^{cos(x)}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{{x}^{cos(x)}}\right)}{dx}\\=&({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))\\=&-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x) + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x) + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x}\right)}{dx}\\=&-({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x) - {x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x) - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)}{(x)} - {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x) + \frac{-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x} + \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x(x)} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x} + \frac{-{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{2}} + \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x} + \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x}\\=&{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x) - \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x} + {x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x) - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x} - {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos(x) - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x) - \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x} + {x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x) - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x} - {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos(x) - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{2}}\right)}{dx}\\=&({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x) + {x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin^{2}(x) + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin^{2}(x)}{(x)} + {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)*2sin(x)cos(x) - \frac{2*-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} - \frac{2({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x} - \frac{2{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)cos(x)}{x} - \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)cos(x)}{x(x)} - \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)cos(x)}{x} - \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)*-sin(x)}{x} + ({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x) + {x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin^{2}(x) + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin^{2}(x)}{(x)} + {x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)*2sin(x)cos(x) - \frac{2*-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} - \frac{2({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x} - \frac{2{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin(x)cos(x)}{x} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin(x)cos(x)}{x(x)} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos(x)cos(x)}{x} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)*-sin(x)}{x} - \frac{2*-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{2({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x} - \frac{2{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)}{x} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)}{x(x)} - \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x} - \frac{4*-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{4({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)sin(x)}{x} - \frac{4{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)sin(x)}{x} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x(x)} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x} - ({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}ln^{2}(x)cos(x) - {x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln^{2}(x)cos(x) - \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}*2ln(x)cos(x)}{(x)} - {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)*-sin(x) - \frac{-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} - \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x^{2}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}(x)} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x^{2}} + \frac{-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{2}(x)} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-2cos(x)sin(x)}{x^{2}} + \frac{-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} + \frac{({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)cos^{2}(x)}{x^{2}(x)} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)*-2cos(x)sin(x)}{x^{2}} + \frac{2*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} + \frac{2({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} + \frac{2{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x^{2}} + \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}(x)} + \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x^{2}} + \frac{-2{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{3}} + \frac{({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}cos(x)}{x^{2}} + \frac{{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)}{x^{2}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}*-sin(x)}{x^{2}} + \frac{-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}} + \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}cos(x)}{x^{2}} + \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}*-sin(x)}{x^{2}} - \frac{-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{3}} - \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x^{2}} - \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x^{2}} + \frac{-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{3}} + \frac{({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x^{2}} + \frac{{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x^{2}}\\=&3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x) + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x} + 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos(x) + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{2}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} - \frac{2{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos^{2}(x)}{x} - 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{3}(x) + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x} - {x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{3}(x) - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} + \frac{15{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x} + \frac{9{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)cos^{2}(x)}{x} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{12{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)cos(x)}{x} + \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{5{x}^{{x}^{cos(x)}}{x}^{cos(x)}sin(x)}{x^{2}} - \frac{6{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)cos(x)}{x} - {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{3}(x) - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x} + {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)sin(x) + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} - \frac{6{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{3}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{3}} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos^{2}(x)}{x^{3}} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} + \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}cos(x)}{x^{3}} + \frac{4{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x^{2}} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{3}} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}}{x^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x) + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x} + 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos(x) + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{2}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} - \frac{2{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos^{2}(x)}{x} - 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{3}(x) + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x} - {x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{3}(x) - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} + \frac{15{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x} + \frac{9{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)cos^{2}(x)}{x} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{12{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)cos(x)}{x} + \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{5{x}^{{x}^{cos(x)}}{x}^{cos(x)}sin(x)}{x^{2}} - \frac{6{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)cos(x)}{x} - {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{3}(x) - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x} + {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)sin(x) + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} - \frac{6{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{3}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{3}} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos^{2}(x)}{x^{3}} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} + \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}cos(x)}{x^{3}} + \frac{4{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x^{2}} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{3}} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}}{x^{3}}\right)}{dx}\\=&3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x) + 3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin(x)cos(x) + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin(x)cos(x)}{(x)} + 3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)cos(x)cos(x) + 3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)*-sin(x) + \frac{3*-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x^{2}} + \frac{3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin^{2}(x)cos(x)}{x(x)} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)*2sin(x)cos(x)cos(x)}{x} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)*-sin(x)}{x} + 3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos(x) + 3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin(x)cos(x) + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin(x)cos(x)}{(x)} + 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)cos(x)cos(x) + 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)*-sin(x) + \frac{9*-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x^{2}} + \frac{9({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x} + \frac{9{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin^{2}(x)cos(x)}{x} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin^{2}(x)cos(x)}{x(x)} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)*2sin(x)cos(x)cos(x)}{x} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)*-sin(x)}{x} + \frac{3*-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{3}} + \frac{3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)cos(x)}{x^{2}(x)} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)cos(x)}{x^{2}} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)*-sin(x)}{x^{2}} - \frac{12*-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{3}} - \frac{12({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{2}} - \frac{12{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)sin(x)cos(x)}{x^{2}} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)cos(x)}{x^{2}(x)} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)cos(x)}{x^{2}} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)*-sin(x)}{x^{2}} - \frac{3*-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)cos^{2}(x)}{x^{2}(x)} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)*-2cos(x)sin(x)}{x^{2}} - \frac{9*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{9({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin(x)cos^{2}(x)}{x^{2}(x)} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos(x)cos^{2}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)*-2cos(x)sin(x)}{x^{2}} - \frac{24*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{3}} - \frac{24({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{2}} - \frac{24{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)cos(x)}{x^{2}} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)cos(x)}{x^{2}(x)} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)cos(x)}{x^{2}} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)*-sin(x)}{x^{2}} + \frac{3*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{3}} + \frac{3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin(x)cos(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin(x)cos(x)}{x^{2}(x)} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos(x)cos(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)*-sin(x)}{x^{2}} - \frac{2*-{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos^{2}(x)}{x^{2}} - \frac{2({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}ln^{2}(x)cos^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}{x}^{cos(x)}*2ln(x)cos^{2}(x)}{x(x)} - \frac{2{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)*-2cos(x)sin(x)}{x} - 3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{5}(x)sin^{3}(x) - 3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{5}(x)sin^{3}(x) - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*5ln^{4}(x)sin^{3}(x)}{(x)} - 3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)*3sin^{2}(x)cos(x) + \frac{3*-{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x^{2}} + \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{5}(x)sin^{2}(x)cos(x)}{x} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*5ln^{4}(x)sin^{2}(x)cos(x)}{x(x)} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)*2sin(x)cos(x)cos(x)}{x} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)*-sin(x)}{x} - ({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{6}(x)sin^{3}(x) - {x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{6}(x)sin^{3}(x) - \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*6ln^{5}(x)sin^{3}(x)}{(x)} - {x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)*3sin^{2}(x)cos(x) - \frac{3*-2{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin(x)cos^{2}(x)}{x^{2}(x)} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)cos(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)*-2cos(x)sin(x)}{x^{2}} - \frac{6*-2{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{3}} - \frac{6({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin(x)cos(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin(x)cos(x)}{x^{2}(x)} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos(x)cos(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)*-sin(x)}{x^{2}} + \frac{15*-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x^{2}} + \frac{15({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x} + \frac{15{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)sin^{2}(x)}{x} + \frac{15{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)sin^{2}(x)}{x(x)} + \frac{15{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)*2sin(x)cos(x)}{x} + \frac{9*-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x^{2}} + \frac{9({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x} + \frac{9{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin^{2}(x)}{x} + \frac{9{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)sin^{2}(x)}{x(x)} + \frac{9{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)*2sin(x)cos(x)}{x} - \frac{2*-{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)cos^{2}(x)}{x^{2}} - \frac{2({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{(2cos(x))}ln^{3}(x)cos^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)}))ln^{3}(x)cos^{2}(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}*3ln^{2}(x)cos^{2}(x)}{x(x)} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)*-2cos(x)sin(x)}{x} + \frac{3*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{3}} + \frac{3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)}{x^{2}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)}{x^{2}(x)} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x^{2}} - \frac{3*-2{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{3}} - \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)sin(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)sin(x)}{x^{2}(x)} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x^{2}} - \frac{12*-2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{3}} - \frac{12({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} - \frac{12{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)sin(x)}{x^{2}} - \frac{12{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}sin(x)}{x^{2}(x)} - \frac{12{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} - \frac{2*-{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)cos(x)}{x^{2}} - \frac{2({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{(2cos(x))}ln^{2}(x)cos(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)}))ln^{2}(x)cos(x)}{x} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}*2ln(x)cos(x)}{x(x)} - \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)*-sin(x)}{x} + \frac{6*-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{3}} + \frac{6({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{2}} + \frac{6{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)sin(x)}{x^{2}} + \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x^{2}(x)} + \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} - \frac{5*-2{x}^{{x}^{cos(x)}}{x}^{cos(x)}sin(x)}{x^{3}} - \frac{5({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}sin(x)}{x^{2}} - \frac{5{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))sin(x)}{x^{2}} - \frac{5{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{2}} - \frac{6*-{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)cos(x)}{x^{2}} - \frac{6({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}ln(x)cos(x)}{x} - \frac{6{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln(x)cos(x)}{x} - \frac{6{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x(x)} - \frac{6{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)*-sin(x)}{x} - ({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin^{3}(x) - {x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin^{3}(x) - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin^{3}(x)}{(x)} - {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{4}(x)*3sin^{2}(x)cos(x) - \frac{-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x^{2}} - \frac{({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x} - \frac{{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)cos^{2}(x)}{x} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)cos^{2}(x)}{x(x)} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)*-2cos(x)sin(x)}{x} - \frac{-{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x^{2}} - \frac{({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x} - \frac{{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos(x)}{x} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)cos(x)}{x(x)} - \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)*-sin(x)}{x} - \frac{-{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} - \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x} - \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{x} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}*2ln(x)cos^{2}(x)}{x(x)} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)*-2cos(x)sin(x)}{x} + ({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}ln^{2}(x)sin(x) + {x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))ln^{2}(x)sin(x) + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}*2ln(x)sin(x)}{(x)} + {x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos(x) + \frac{2*-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} + \frac{2({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} + \frac{2{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}(x)} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x^{3}} - \frac{3*-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{4}} - \frac{3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} - \frac{3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{3}(x)} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-2cos(x)sin(x)}{x^{3}} + \frac{3*-{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x^{2}} + \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x} + \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{4}(x)sin^{2}(x)}{x} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*4ln^{3}(x)sin^{2}(x)}{x(x)} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)*2sin(x)cos(x)}{x} - \frac{3*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{4}} - \frac{3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} - \frac{3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{x^{3}} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)cos^{2}(x)}{x^{3}(x)} - \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)*-2cos(x)sin(x)}{x^{3}} - \frac{6*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} - \frac{6({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} - \frac{6{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x^{3}} - \frac{6{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}(x)} - \frac{6{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x^{3}} - \frac{3*-3{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{4}} - \frac{3({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}cos(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{cos(x)}*-sin(x)}{x^{3}} + \frac{-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{4}} + \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{3}} + \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos^{3}(x)}{x^{3}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{3}(x)}{x^{3}(x)} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)*-3cos^{2}(x)sin(x)}{x^{3}} + \frac{3*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{4}} + \frac{3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos^{3}(x)}{x^{3}} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)cos^{3}(x)}{x^{3}(x)} + \frac{3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)*-3cos^{2}(x)sin(x)}{x^{3}} + \frac{9*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{4}} + \frac{9({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{3}} + \frac{9{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos^{2}(x)}{x^{3}} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{3}(x)} + \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)*-2cos(x)sin(x)}{x^{3}} + \frac{-3{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos^{2}(x)}{x^{4}} + \frac{({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{cos(x)}cos^{2}(x)}{x^{3}} + \frac{{x}^{{x}^{cos(x)}}({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)}))cos^{2}(x)}{x^{3}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}*-2cos(x)sin(x)}{x^{3}} + \frac{-3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{4}} + \frac{({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{3}} + \frac{{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{3}(x)cos^{3}(x)}{x^{3}} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*3ln^{2}(x)cos^{3}(x)}{x^{3}(x)} + \frac{{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)*-3cos^{2}(x)sin(x)}{x^{3}} + \frac{3*-3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{4}} + \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln^{2}(x)cos^{2}(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}*2ln(x)cos^{2}(x)}{x^{3}(x)} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)*-2cos(x)sin(x)}{x^{3}} + \frac{3*-3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} + \frac{3({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))ln(x)cos(x)}{x^{3}} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{3}(x)} + \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)*-sin(x)}{x^{3}} + \frac{2*-3{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}cos(x)}{x^{4}} + \frac{2({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)})){x}^{(2cos(x))}cos(x)}{x^{3}} + \frac{2{x}^{{x}^{cos(x)}}({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)}))cos(x)}{x^{3}} + \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}*-sin(x)}{x^{3}} + \frac{4*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{4}} + \frac{4({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}cos(x)}{x^{3}} + \frac{4{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))cos(x)}{x^{3}} + \frac{4{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}*-sin(x)}{x^{3}} + \frac{2*-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{4}} + \frac{2({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{3}} + \frac{2{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))cos^{2}(x)}{x^{3}} + \frac{2{x}^{cos(x)}{x}^{{x}^{cos(x)}}*-2cos(x)sin(x)}{x^{3}} - \frac{3*-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{4}} - \frac{3({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}cos(x)}{x^{3}} - \frac{3{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))cos(x)}{x^{3}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}*-sin(x)}{x^{3}} - \frac{-2{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x^{3}} - \frac{({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}sin(x)}{x^{2}} - \frac{{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))sin(x)}{x^{2}} - \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}} - \frac{3*-3{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{4}} - \frac{3({x}^{(2cos(x))}((2*-sin(x))ln(x) + \frac{(2cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x^{3}} - \frac{3{x}^{(2cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x^{3}} + \frac{2*-3{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{4}} + \frac{2({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x^{3}} + \frac{2{x}^{cos(x)}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x^{3}} + \frac{-3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}}{x^{4}} + \frac{({x}^{(3cos(x))}((3*-sin(x))ln(x) + \frac{(3cos(x))(1)}{(x)})){x}^{{x}^{cos(x)}}}{x^{3}} + \frac{{x}^{(3cos(x))}({x}^{{x}^{cos(x)}}((({x}^{cos(x)}((-sin(x))ln(x) + \frac{(cos(x))(1)}{(x)})))ln(x) + \frac{({x}^{cos(x)})(1)}{(x)}))}{x^{3}}\\=&-6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x) + \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x} - 18{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x) + \frac{36{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x} + \frac{60{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x} + \frac{36{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x} + 3{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{3}(x)cos^{2}(x) - \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x^{2}} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{3}(x)cos(x)}{x} + \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos^{2}(x)}{x^{2}} - \frac{28{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{3}(x)cos(x)}{x} + \frac{42{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos^{2}(x)}{x^{2}} + \frac{156{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)cos(x)}{x^{2}} + \frac{36{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)cos(x)}{x^{2}} - 6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{2}(x)cos(x) + \frac{12{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin(x)cos^{2}(x)}{x} + \frac{12{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos(x)}{x} + 3{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{4}(x)cos^{2}(x) - \frac{18{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x^{2}} - \frac{24{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{3}(x)cos(x)}{x} + \frac{36{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos^{2}(x)}{x^{2}} + \frac{96{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)cos(x)}{x^{2}} - \frac{8{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{3}} + \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{3}} + \frac{36{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{3}} + \frac{96{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{3}} + \frac{48{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{3}} + \frac{5{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos^{2}(x)}{x^{2}} - \frac{24{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{120{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{120{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)cos(x)}{x^{3}} - \frac{14{x}^{{x}^{cos(x)}}{x}^{cos(x)}sin(x)cos(x)}{x^{3}} - \frac{16{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)cos^{2}(x)}{x^{2}} - \frac{4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos^{3}(x)}{x^{3}} - \frac{28{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{3}(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)cos^{3}(x)}{x^{2}} - \frac{24{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{3}(x)}{x^{3}} - \frac{84{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos^{2}(x)}{x^{3}} - \frac{9{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)cos^{3}(x)}{x^{2}} - \frac{8{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{3}} - \frac{84{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)cos(x)}{x^{3}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x^{2}} - \frac{30{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{4{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln^{2}(x)sin(x)cos(x)}{x} + \frac{12{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{3}} + \frac{24{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{3}} + \frac{5{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{(3cos(x))}ln^{4}(x)cos^{3}(x)}{x^{2}} - \frac{9{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{2}} - \frac{18{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} - \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{2}} + 7{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{4}(x) + 6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{7}(x)sin^{4}(x) - \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{7}(x)sin^{3}(x)cos(x)}{x} + \frac{6{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{2}(x)cos^{2}(x)}{x^{2}} + \frac{12{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{2}(x)cos(x)}{x^{2}} + \frac{4{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{3}(x)sin(x)cos(x)}{x} - \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin(x)cos^{3}(x)}{x^{3}} + {x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{8}(x)sin^{4}(x) - \frac{12{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin(x)cos^{2}(x)}{x^{3}} - 4{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x) - \frac{12{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin(x)cos(x)}{x^{3}} - \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{6}(x)sin^{3}(x)}{x} - \frac{30{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x^{2}} - \frac{6{x}^{{x}^{cos(x)}}{x}^{(3cos(x))}ln^{3}(x)cos^{2}(x)}{x^{2}} - \frac{18{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x^{2}} + \frac{36{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin^{2}(x)}{x^{2}} - \frac{64{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{3}(x)}{x} - \frac{16{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{3}(x)}{x} + \frac{54{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x)}{x^{2}} + \frac{108{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin^{2}(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)cos^{3}(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x^{2}} - \frac{8{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{3}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x^{2}} + \frac{12{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{3}} + \frac{48{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{3}} + \frac{5{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)cos(x)}{x^{2}} + \frac{6{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)sin^{2}(x)}{x^{2}} - \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x^{3}} - \frac{24{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{3}} - \frac{3{x}^{{x}^{cos(x)}}{x}^{(3cos(x))}ln^{2}(x)cos(x)}{x^{2}} - \frac{10{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)cos(x)}{x^{3}} - \frac{16{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln(x)cos(x)}{x^{2}} - \frac{3{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x^{2}} - \frac{16{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)sin(x)}{x^{3}} + \frac{19{x}^{{x}^{cos(x)}}{x}^{cos(x)}sin(x)}{x^{3}} + \frac{12{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)cos(x)}{x^{2}} - \frac{10{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}sin(x)}{x^{3}} - \frac{11{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{2}} - \frac{8{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{2}} - \frac{8{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{2}} + {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{4}(x) - 4{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{3}(x)sin^{2}(x) + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{2}(x)}{x^{2}} + \frac{{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x)}{x^{2}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{2}} + \frac{2{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)sin(x)}{x} + \frac{8{x}^{{x}^{cos(x)}}{x}^{cos(x)}ln(x)sin(x)}{x} + {x}^{cos(x)}{x}^{{x}^{cos(x)}}ln^{2}(x)cos(x) - \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} + \frac{11{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{4}} - \frac{36{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{5}(x)sin^{3}(x)}{x} + \frac{11{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{4}} + \frac{22{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} + \frac{11{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{4}} - \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{4}} - \frac{18{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{4}} - \frac{54{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{4}} - \frac{6{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos^{2}(x)}{x^{4}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{4}} - \frac{18{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{4}} - \frac{18{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} - \frac{12{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}cos(x)}{x^{4}} - \frac{24{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{4}} - \frac{12{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{4}} + \frac{{x}^{cos(x)}{x}^{{x}^{cos(x)}}ln(x)cos^{4}(x)}{x^{4}} + \frac{7{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{4}(x)}{x^{4}} + \frac{28{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{3}(x)}{x^{4}} + \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos^{3}(x)}{x^{4}} + \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{4}(x)}{x^{4}} + \frac{24{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{3}(x)}{x^{4}} + \frac{2{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}ln^{2}(x)sin(x)}{x} + \frac{30{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos^{2}(x)}{x^{4}} + \frac{9{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}cos^{2}(x)}{x^{4}} + \frac{15{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}cos^{2}(x)}{x^{4}} + \frac{3{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos^{3}(x)}{x^{4}} - \frac{14{x}^{{x}^{cos(x)}}{x}^{(2cos(x))}sin(x)}{x^{3}} + \frac{{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{4}(x)cos^{4}(x)}{x^{4}} + \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{3}(x)cos^{3}(x)}{x^{4}} + \frac{6{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln^{2}(x)cos^{2}(x)}{x^{4}} + \frac{4{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}ln(x)cos(x)}{x^{4}} + \frac{3{x}^{{x}^{cos(x)}}{x}^{(3cos(x))}cos(x)}{x^{4}} + \frac{9{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}cos(x)}{x^{4}} + \frac{11{x}^{cos(x)}{x}^{{x}^{cos(x)}}cos(x)}{x^{4}} + \frac{5{x}^{cos(x)}{x}^{{x}^{cos(x)}}sin(x)}{x^{3}} - \frac{{x}^{{x}^{cos(x)}}{x}^{cos(x)}cos(x)}{x^{2}} - \frac{6{x}^{(3cos(x))}{x}^{{x}^{cos(x)}}}{x^{4}} - \frac{6{x}^{cos(x)}{x}^{{x}^{cos(x)}}}{x^{4}} + \frac{11{x}^{(2cos(x))}{x}^{{x}^{cos(x)}}}{x^{4}} + \frac{{x}^{(4cos(x))}{x}^{{x}^{cos(x)}}}{x^{4}}\\ \end{split}\end{equation} \]