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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xe^{{x}^{e^{x}}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xe^{{x}^{e^{x}}}\right)}{dx}\\=&e^{{x}^{e^{x}}} + xe^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))\\=&e^{{x}^{e^{x}}} + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{{x}^{e^{x}}} + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}\right)}{dx}\\=&e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})) + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{(x)} + ({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))\\=&2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 2{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + \frac{{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + 2{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 2{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + \frac{{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + 2{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x}\right)}{dx}\\=&2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}ln(x) + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{(x)} + {x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + {x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + 2{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x) + 2{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{2{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{(x)} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{(x)} + \frac{-{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x} + 2({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + 2{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x) + 2{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{2{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{(x)} + ({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}^{e^{x}}}e^{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{-{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x} + ({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})) + \frac{-{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x}\\=&3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + \frac{3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{4{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{2{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + \frac{{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + \frac{3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{4{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{2{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + \frac{{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x}\right)}{dx}\\=&3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + {x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + x{x}^{e^{x}}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{3}(x) + x{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{3}(x) + \frac{x{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}*3ln^{2}(x)}{(x)} + 3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{(x)} + 3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 3{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3x({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 3x{x}^{(2e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{3}(x) + 3x{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{3}(x) + \frac{3x{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}*3ln^{2}(x)}{(x)} + 3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + {x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + x({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + x{x}^{(3e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{3}(x) + x{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{3}(x) + \frac{x{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}*3ln^{2}(x)}{(x)} + 9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{(2e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 9({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + 9{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x) + 9{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{9{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{(x)} + {x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{(x)} + 3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{(3e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln^{2}(x) + 3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln^{2}(x) + \frac{3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}*2ln(x)}{(x)} + 9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + 9{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x) + 9{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x) + \frac{9{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{(x)} + \frac{3*-{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x(x)} + \frac{9*-{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{9({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{9{x}^{(2e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x)}{x} + \frac{9{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x(x)} + \frac{3*-{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{3({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x)}{x} + \frac{3{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x(x)} + \frac{3*-{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x)}{x} + \frac{3{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x(x)} + \frac{3*-{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{3({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(3e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))ln(x)}{x} + \frac{3{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x(x)} + ({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}^{e^{x}}}e^{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x} + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{-2{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{e^{x}}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x^{2}} + \frac{2*-{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x^{2}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}^{e^{x}}}e^{x}}{x} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}}{x} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x} + \frac{3*-2{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{3({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{3{x}^{(2e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{3{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x^{2}} + \frac{4*-{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{4({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{e^{x}}*2e^{x}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x} + \frac{4*-{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{4({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{(2e^{x})}*2e^{x}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{4{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x} + \frac{2*-{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}} + \frac{2({x}^{(2e^{x})}((2e^{x})ln(x) + \frac{(2e^{x})(1)}{(x)}))e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + \frac{2{x}^{(2e^{x})}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}}{x} + \frac{2{x}^{(2e^{x})}e^{{x}^{e^{x}}}*2e^{x}e^{x}}{x} + 2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}} + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} + 2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)})) + \frac{2*-{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}} + \frac{2({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{{x}*{2}}}{x} + \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}*2e^{x}e^{x}}{x} + \frac{-2{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{({x}^{(3e^{x})}((3e^{x})ln(x) + \frac{(3e^{x})(1)}{(x)}))e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(3e^{x})}*3e^{{x}*{2}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x^{2}} - \frac{-2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{3}} - \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x^{2}} + \frac{-{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} + \frac{({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x} + \frac{{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}({x}^{e^{x}}((e^{x})ln(x) + \frac{(e^{x})(1)}{(x)}))}{x}\\=&4{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + x{x}^{e^{x}}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{4}(x) + 12{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 12{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 7x{x}^{(2e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{4}(x) + \frac{18{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + 4{x}^{e^{x}}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{3}(x) + 6x{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 6x{x}^{(3e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{4}(x) + 28{x}^{(2e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{3}(x) + 24{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 4{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + 12{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 18x{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 4{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + 6x{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{3}(x) + \frac{18{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x} + 7x{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + x{x}^{(4e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{4}(x) + 24{x}^{(3e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{3}(x) + 72{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 7x{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln^{2}(x) + 28{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + \frac{6{x}^{e^{x}}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + \frac{42{x}^{(2e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + \frac{30{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{36{x}^{(3e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + 24{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x) + 28{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x) + \frac{6{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + \frac{18{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + 4{x}^{(4e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{3}(x) + \frac{6{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + \frac{90{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{6{x}^{(4e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln^{2}(x)}{x} + x{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}ln(x) + {x}^{e^{x}}e^{{x}^{e^{x}}}e^{x} + \frac{30{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}ln(x)}{x} + \frac{4{x}^{e^{x}}e^{{x}*{4}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{28{x}^{(2e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} - \frac{4{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{24{x}^{(3e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} - \frac{4{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{4{x}^{(4e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}ln(x)}{x^{2}} + \frac{27{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}} + \frac{3{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{3}}}{x^{2}} + \frac{15{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{9{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x^{2}} + \frac{3{x}^{(3e^{x})}e^{{x}^{e^{x}}}e^{{x}*{3}}}{x^{2}} + 3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}} - \frac{2{x}^{e^{x}}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{{x}^{e^{x}}e^{{x}*{4}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{15{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x} + \frac{7{x}^{(2e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}}{x^{3}} - \frac{2{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x^{2}} - \frac{{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{3{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x} - \frac{6{x}^{(2e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{6{x}^{(3e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{9{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{2}} + \frac{3{x}^{e^{x}}e^{{x}^{e^{x}}}e^{x}}{x} + \frac{9{x}^{e^{x}}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} - \frac{2{x}^{(3e^{x})}e^{{x}*{3}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{9{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{3}}}{x^{2}} + \frac{9{x}^{(2e^{x})}e^{{x}^{e^{x}}}e^{{x}*{2}}}{x} + \frac{{x}^{(4e^{x})}e^{{x}*{4}}e^{{x}^{e^{x}}}}{x^{3}} + \frac{2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{3}} - \frac{{x}^{e^{x}}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{3}} - \frac{2{x}^{e^{x}}e^{x}e^{{x}^{e^{x}}}}{x^{2}} - \frac{{x}^{(2e^{x})}e^{{x}*{2}}e^{{x}^{e^{x}}}}{x^{3}}\\ \end{split}\end{equation} \]