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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {a}^{e^{{x}^{x}}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {a}^{e^{{x}^{x}}}\right)}{dx}\\=&({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))\\=&{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)}\\=&{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x} + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x} + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*2ln(x)ln(a)}{(x)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{2}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln(a) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*2ln(x)ln(a)}{(x)} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + {x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{2}(x) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{2}(x)}{(a)} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)*2ln(x)}{(x)} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln(x) + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln(x)}{(a)} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{-{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{x}e^{{x}^{x}}ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{{x}^{x}}ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}*0}{x(a)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0}{(a)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)}\\=&{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 4{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + 3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 5{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x} + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{3{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x} - \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x} + 2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 4{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + 3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 5{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x} + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{3{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x} - \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x} + 2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 2{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\right)}{dx}\\=&({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*3ln^{2}(x)ln(a)}{(x)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)*0}{(a)} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + 3{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{3}(x)ln(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)ln(a) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*3ln^{2}(x)ln(a)}{(x)} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)*0}{(a)} + ({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{3}(x) + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{3}(x)}{(a)} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)*3ln^{2}(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{3}(x) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{3}(x)}{(a)} + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)*3ln^{2}(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{3}(x)ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)ln(a) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*3ln^{2}(x)ln(a)}{(x)} + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)*0}{(a)} + \frac{3*-{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{3{x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a)}{x} + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x(x)} + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{x(a)} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)ln^{2}(a) + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*3ln^{2}(x)ln^{2}(a)}{(x)} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)*2ln(a)*0}{(a)} + 2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(x)ln^{2}(a) + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}*3ln^{2}(x)ln^{2}(a)}{(x)} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{3}(x)*2ln(a)*0}{(a)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}*3e^{{{x}^{x}}*{2}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(a)ln^{3}(x) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}*3ln^{2}(a)*0ln^{3}(x)}{(a)} + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)*3ln^{2}(x)}{(x)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 3{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}*3e^{{{x}^{x}}*{2}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(a)ln^{2}(x) + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}*3ln^{2}(a)*0ln^{2}(x)}{(a)} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)*2ln(x)}{(x)} + 4({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln^{2}(a) + \frac{4{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(x)ln^{2}(a)}{(x)} + \frac{4{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)*2ln(a)*0}{(a)} + 4({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln^{2}(a) + \frac{4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}*2ln(x)ln^{2}(a)}{(x)} + \frac{4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)*2ln(a)*0}{(a)} + \frac{2*-{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{2{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a)}{x} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x(x)} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{x(a)} + 3({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 3{x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{2}(x)ln(a) + 3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln(a) + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*2ln(x)ln(a)}{(x)} + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)*0}{(a)} + 9({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 9{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{2}(x)ln(a) + 9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln(a) + \frac{9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*2ln(x)ln(a)}{(x)} + \frac{9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)*0}{(a)} + 5({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 5{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 5{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{2}(x) + \frac{5{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{2}(x)}{(a)} + \frac{5{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)*2ln(x)}{(x)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{2}(x) + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{2}(x)}{(a)} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)*2ln(x)}{(x)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 3{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln^{2}(x)ln(a) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(x)ln(a) + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*2ln(x)ln(a)}{(x)} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)*0}{(a)} + \frac{3*-{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x^{2}} + \frac{3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + \frac{3{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln^{2}(a)}{x} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x(x)} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)*2ln(a)*0}{x(a)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + 7({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 7{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln(x) + \frac{7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln(x)}{(a)} + \frac{7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + 3{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{-{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x(x)} + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)*0}{x(a)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 3{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln(x) + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0ln(x)}{(a)} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + 2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 2{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln^{2}(x) + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}*2ln(a)*0ln^{2}(x)}{(a)} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)*2ln(x)}{(x)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)ln(x) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)ln(x) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0ln(x)}{(a)} + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{3*-{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{3({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(2x)}e^{{x}^{x}}ln(a)}{x} + \frac{3{a}^{e^{{x}^{x}}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{{x}^{x}}ln(a)}{x} + \frac{3{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)}{x} + \frac{3{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}*0}{x(a)} - \frac{-2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{3}} - \frac{({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} - \frac{{a}^{e^{{x}^{x}}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{{x}^{x}}ln(a)}{x^{2}} - \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)}{x^{2}} - \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}*0}{x^{2}(a)} + \frac{2*-{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x^{2}} + \frac{2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}*2ln(a)*0}{x(a)} + \frac{-{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x^{2}} + \frac{({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)}{x} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0}{x(a)} + \frac{2*-{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{x}e^{{x}^{x}}ln(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))e^{{x}^{x}}ln(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}*0}{x(a)} + \frac{-{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x} + \frac{{x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a)}{x} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a)}{x} + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{x(a)} + 2({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 2{x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a) + 2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a) + \frac{2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{(a)} + 6({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 6{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a) + 6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a) + \frac{6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{(a)} + 3({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 3{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}*3e^{{{x}^{x}}*{2}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(a)ln(x) + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}*3ln^{2}(a)*0ln(x)}{(a)} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)}{(x)} + 4({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 4{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 4{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a)ln(x) + \frac{4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}*2ln(a)*0ln(x)}{(a)} + \frac{4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + 2({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 2{x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(x)ln(a) + 2{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln(a) + \frac{2{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{(x)} + \frac{2{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)*0}{(a)} + 2({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln^{2}(a) + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)*2ln(a)*0}{(a)} + 2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(x)ln^{2}(a) + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{(x)} + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)*2ln(a)*0}{(a)} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 3{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0}{(a)} + 2({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)})){x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a) + 2{a}^{e^{{x}^{x}}}({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)}))e^{{{x}^{x}}*{2}}ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a) + \frac{2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}*2ln(a)*0}{(a)} + 3({x}^{(2x)}((2)ln(x) + \frac{(2x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + 3{x}^{(2x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + 3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{3}}ln^{3}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}*3e^{{{x}^{x}}*{2}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{3}(a) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}*3ln^{2}(a)*0}{(a)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}*2e^{{x}^{x}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln^{2}(a) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}*2ln(a)*0}{(a)} + ({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{x}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)} + ({x}^{(3x)}((3)ln(x) + \frac{(3x)(1)}{(x)})){a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{(3x)}({a}^{e^{{x}^{x}}}((e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))ln(a) + \frac{(e^{{x}^{x}})(0)}{(a)}))e^{{x}^{x}}ln(a) + {x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)}))ln(a) + \frac{{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}*0}{(a)}\\=&{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{4}(x)ln(a) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{4}(x)ln(a) + {x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{4}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{4}(x) + 6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{4}(x)ln(a) + \frac{6{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a)}{x} + 6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{4}(x)ln^{2}(a) + 6{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{4}(x)ln^{2}(a) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{4}(x) + 3{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{4}(x) + 9{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{4}(x)ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{4}(x)ln^{2}(a) + \frac{18{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a)}{x} + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{4}(x)ln(a) + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{4}(x) + \frac{18{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a)}{x} + 4{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{4}(x)ln^{2}(a) + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{4}}ln^{4}(a)ln^{4}(x) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{4}(x)ln^{3}(a) + 3{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{4}(x)ln^{3}(a) + \frac{6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a)}{x} + 9{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(x)ln^{3}(a) + 9{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{3}(x)ln^{3}(a) + 4{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{4}}ln^{4}(a)ln^{3}(x) + 15{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + 22{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 22{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + \frac{5{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a)}{x} - \frac{4{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{12{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a)}{x} + 33{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 16{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 12{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) + 6{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + 4{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + 28{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + 15{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + 24{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + \frac{6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{2}(x)ln^{3}(a)}{x} + 6{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{3}(x)ln^{2}(a) + 4{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + 4{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{3}(x)ln(a) + \frac{9{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln(x)ln^{3}(a)}{x} + 6{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 42{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 16{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 27{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 26{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 26{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + \frac{33{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + 36{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) + 33{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 18{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 39{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 6{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + \frac{20{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + 10{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 6{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln^{2}(x)ln(a) - \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{12{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{x}^{x}}ln^{2}(x)ln(a)}{x} + \frac{8{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{34{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a)}{x} + 6{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{4}}ln^{4}(a)ln^{2}(x) + 9{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{2}(x)ln^{3}(a) + \frac{13{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x} + 9{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{2}(x)ln^{3}(a) + 20{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(x)ln^{2}(a) + 6{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) - \frac{4{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a)}{x^{2}} + 2{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + 3{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{3}(x) - \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x^{2}} + \frac{3{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x)}{x} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x)}{x} + \frac{4{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{x}^{x}}ln(x)ln(a)}{x} + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + 18{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + 21{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 9{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{3}(a)ln^{2}(x) + 14{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 33{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + 6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(x)ln(a)}{x} + \frac{{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{2}} + \frac{{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x^{2}} + \frac{{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x^{2}} + 12{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + 6{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + \frac{5{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + 12{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)ln(x) + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)ln(x) + \frac{6{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{x}^{x}}ln(a)}{x} + \frac{3{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x} + \frac{9{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{2{a}^{e^{{x}^{x}}}{x}^{x}e^{{x}^{x}}ln(a)}{x^{3}} + \frac{11{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x} + \frac{13{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a)}{x} - \frac{2{a}^{e^{{x}^{x}}}{x}^{(2x)}e^{{x}^{x}}ln(a)}{x^{2}} - \frac{2{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x^{2}} - \frac{2{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x^{2}} + \frac{9{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a)}{x} + \frac{3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x} + \frac{7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)}{x} + 3{x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 2{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{3}(x) + 21{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 18{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 4{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{4}}ln^{4}(a)ln(x) + 9{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{3}(a)ln(x) + \frac{3{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{3}}ln^{3}(a)}{x} + 3{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(x)ln(a) + 10{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 10{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 15{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 10{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a)ln^{2}(x) + 8{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 3{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln(x)ln^{3}(a) + 3{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln(x)ln^{3}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln(x)ln^{2}(a) + 6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a) + 3{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{3}}ln^{3}(a) + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{4}}ln^{4}(a) + 5{x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 3{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{3}}ln^{3}(a) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 2{a}^{e^{{x}^{x}}}{x}^{(4x)}e^{{{x}^{x}}*{2}}ln^{2}(a) + 7{x}^{(2x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + {x}^{x}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + 12{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{{x}^{x}}*{2}}ln^{2}(a) + 6{x}^{(3x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a) + 6{a}^{e^{{x}^{x}}}{x}^{(3x)}e^{{{x}^{x}}*{2}}ln^{2}(a) + {x}^{(4x)}{a}^{e^{{x}^{x}}}e^{{x}^{x}}ln(a)\\ \end{split}\end{equation} \]