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 y is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} - ln({x}^{y} - {y}^{x} + 2xylog_{x}^{y})\ with\ respect\ to\ y：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} - ln({x}^{y} - {y}^{x} + 2xylog_{x}^{y})\right)}{dy}\\=&e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) - \frac{(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})}\\=&{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) - \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + 2xlog_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} - \frac{{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} + \frac{x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y} - \frac{2xlog_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})ln(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) - \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + 2xlog_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} - \frac{{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} + \frac{x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y} - \frac{2xlog_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})ln(x)}\right)}{dy}\\=&({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x) + \frac{{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{(x)} - \frac{x*-{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} + 2x(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 2xlog_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln(x)} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{ln^{2}(x)(x)} - (\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}}){x}^{y}ln(x) - \frac{({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})(x)} + \frac{(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x{y}^{x}}{y} + \frac{x*-{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y} - 2(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})xlog_{x}^{y} - \frac{2x(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{2(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x}{ln(x)} - \frac{2x*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})ln^{2}(x)(x)}\\=&{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + {x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + 4x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 4x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} - \frac{4x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + \frac{x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{4x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{8x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + 4x^{2}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{4x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + \frac{{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{x{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{4x{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{4x{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{x{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4x^{2}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} + \frac{x^{2}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{8x^{2}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln(x)} + \frac{4x^{2}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})yln(x)} + \frac{4x^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln^{2}(x)}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + {x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + 4x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 4x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} - \frac{4x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + \frac{x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{4x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{8x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + 4x^{2}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{4x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + \frac{{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{x{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{4x{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{4x{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{x{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4x^{2}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} + \frac{x^{2}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{8x^{2}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln(x)} + \frac{4x^{2}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})yln(x)} + \frac{4x^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln^{2}(x)}\right)}{dy}\\=&({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x) + \frac{{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{(x)} + ({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + {x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x) + \frac{{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{(x)} - \frac{x*-{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y(x)} + 4x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 4x{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 4x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x) + \frac{4x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{(x)} + 4x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 4x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) - \frac{4x^{2}*-{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} - \frac{4x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{4x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln(x)} - \frac{4x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{yln^{2}(x)(x)} - \frac{x^{2}*-2{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} - \frac{x*-{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y} - \frac{x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y(x)} + \frac{x^{2}*-2{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} - \frac{4x^{2}*-{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{4x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{4x^{2}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{4x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} + \frac{x*-2{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} + \frac{2x*-e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln(x)} + \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{yln^{2}(x)(x)} + \frac{8x^{2}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{8x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln(x)} + \frac{8x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{ln^{2}(x)(x)} + 4x^{2}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 4x^{2}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) + \frac{4x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln^{2}(x)} + \frac{4x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-2*0}{ln^{3}(x)(x)} + (\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}}){x}^{(2y)}ln^{2}(x) + \frac{({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{{x}^{(2y)}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}(x)} - \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{y}^{x}{x}^{y}ln(x)}{y} - \frac{x*-{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y(x)} + 4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}log_{x}^{y}ln(x) + \frac{4x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{4x{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{4x{x}^{y}log_{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}(x)} + 4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y} + \frac{4x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - (\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}}){x}^{y}ln^{2}(x) - \frac{({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{{x}^{y}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})(x)} - \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}{y}^{x}ln(x)}{y} - \frac{x*-{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{x}^{y}{y}^{x}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y(x)} - \frac{4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{x}log_{x}^{y}}{y} - \frac{4x^{2}*-{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{4x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4x^{2}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{x}}{yln(x)} - \frac{4x^{2}*-{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} - \frac{4x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} - \frac{4x^{2}{y}^{x}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln^{2}(x)(x)} + \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{(2x)}}{y^{2}} + \frac{x^{2}*-2{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x{y}^{x}}{y^{2}} - \frac{x*-2{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x^{2}{y}^{x}}{y^{2}} + \frac{x^{2}*-2{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} + \frac{x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}} + \frac{8(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}log_{x}^{y}}{ln(x)} + \frac{8x^{2}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln(x)} + \frac{8x^{2}log_{x}^{y}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln^{2}(x)(x)} + 4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{\left(log_{x}^{y}\right)}^{2} + \frac{4x^{2}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{2(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x}{yln(x)} - \frac{2x*-1}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}ln(x)} - \frac{2x*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})yln^{2}(x)(x)} + \frac{4(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}}{ln^{2}(x)} + \frac{4x^{2}*-2*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}ln^{3}(x)(x)}\\=&{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 3{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 6x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + {x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) - \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + 6x{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{2x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + \frac{x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{12x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + 12x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 24x^{2}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{12x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} - \frac{6x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{6x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{24x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{3x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{6x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{2x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{3x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{3}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{3}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{6x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{12x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{2x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{3x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{12x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{12x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + \frac{24x^{3}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{24x^{3}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + 8x^{3}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{8x^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{3}(x)} - \frac{2{x}^{(3y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{4x{x}^{(2y)}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{12x{x}^{(2y)}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{12x{x}^{(2y)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{3{x}^{(2y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{4x^{2}{y}^{(2x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{x{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x^{2}{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x{x}^{y}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{12x^{2}{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{24x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{6x{x}^{y}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{48x^{2}{x}^{y}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{24x^{2}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} + \frac{6x{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{2x{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} + \frac{2x{y}^{x}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{2x^{2}{x}^{y}{y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{48x^{3}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} + \frac{24x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{12x^{3}{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{6x^{2}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{6x^{3}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{12x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln(x)} + \frac{24x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{2}(x)} - \frac{6x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} + \frac{12x^{2}{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{3x^{2}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{6x{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{3x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{2x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{3x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} + \frac{2x^{3}{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} + \frac{x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{48x^{3}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} - \frac{48x^{3}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{2}(x)} + \frac{12x^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln^{2}(x)} + \frac{12x^{2}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} - \frac{16x^{3}{\left(log_{x}^{y}\right)}^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}ln(x)} - \frac{16x^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{3}(x)}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 3{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 6x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + {x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) - \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + 6x{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{2x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + \frac{x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{12x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + 12x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 24x^{2}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{12x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} - \frac{6x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{6x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{24x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{3x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{6x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{2x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{3x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{3}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{3}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{6x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{12x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{2x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{3x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{12x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{12x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + \frac{24x^{3}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{24x^{3}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + 8x^{3}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{8x^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{3}(x)} - \frac{2{x}^{(3y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{4x{x}^{(2y)}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{12x{x}^{(2y)}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{12x{x}^{(2y)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{3{x}^{(2y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{4x^{2}{y}^{(2x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{x{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x^{2}{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x{x}^{y}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{12x^{2}{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{24x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{6x{x}^{y}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{48x^{2}{x}^{y}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{24x^{2}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} + \frac{6x{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{2x{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} + \frac{2x{y}^{x}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{2x^{2}{x}^{y}{y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{48x^{3}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} + \frac{24x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{12x^{3}{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{6x^{2}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{6x^{3}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{12x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln(x)} + \frac{24x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{2}(x)} - \frac{6x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} + \frac{12x^{2}{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{3x^{2}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{6x{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{3x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{2x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{3x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} + \frac{2x^{3}{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} + \frac{x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{48x^{3}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} - \frac{48x^{3}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{2}(x)} + \frac{12x^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln^{2}(x)} + \frac{12x^{2}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} - \frac{16x^{3}{\left(log_{x}^{y}\right)}^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{2x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}ln(x)} - \frac{16x^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{3}(x)}\right)}{dy}\\=&({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + {x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{3}(x) + \frac{{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*3ln^{2}(x)*0}{(x)} + 3({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 3{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{3}(x) + \frac{3{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*3ln^{2}(x)*0}{(x)} + 6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x) + \frac{6x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{(x)} + 6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x) + \frac{6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{(x)} + ({x}^{(3y)}((3)ln(x) + \frac{(3y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + {x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{3}(x) + \frac{{x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*3ln^{2}(x)*0}{(x)} - \frac{2x*-{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{2x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x)}{y} - \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{y(x)} + 6x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{(2y)}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6x{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x) + \frac{6x{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{(x)} + 6x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 6x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x) + \frac{6x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{(x)} + \frac{x*-2{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} + \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{2x*-{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{2x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x{y}^{x}({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{2x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x)}{y} - \frac{2x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{y(x)} - \frac{2x^{2}*-2{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{2x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{2x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{2x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} - \frac{2x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{x*-{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{x{x}^{(2y)}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x)}{y} - \frac{x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{y(x)} + \frac{x^{2}*-2{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{x^{2}{y}^{(2x)}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} + \frac{x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{x^{2}*-2{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{6x^{2}*-{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{y}^{x}{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y} - \frac{6x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y(x)} - \frac{12x^{3}*-{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} - \frac{12x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} - \frac{12x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln^{2}(x)} - \frac{12x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-2*0}{yln^{3}(x)(x)} + 12x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 12x^{2}{x}^{y}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + 12x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x) + \frac{12x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{(x)} + 24x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 24x^{2}{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 24x^{2}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) + \frac{12x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{12x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln(x)} + \frac{12x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{ln^{2}(x)(x)} - \frac{6x^{3}*-2{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} - \frac{6x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} - \frac{6x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}ln(x)} - \frac{6x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{y^{2}ln^{2}(x)(x)} + \frac{6x^{3}*-2{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} + \frac{6x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{6x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}ln(x)} + \frac{6x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{y^{2}ln^{2}(x)(x)} + \frac{2x*-2{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{2x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{2x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} + \frac{2x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{24x^{3}*-{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} - \frac{24x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{24x^{3}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{24x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln(x)} - \frac{24x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{yln^{2}(x)(x)} + \frac{3x^{2}*-3{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{3x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{3x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} - \frac{x*-{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln^{2}(x)}{y} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*2ln(x)*0}{y(x)} - \frac{6x^{3}*-2{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{6x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{6x^{3}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{6x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} + \frac{2x^{2}*-2{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{2x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{2x^{2}{x}^{y}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} + \frac{2x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y^{2}} + \frac{2x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y^{2}(x)} - \frac{6x^{2}*-{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{6x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} - \frac{6x^{2}*-{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{6x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{6x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} - \frac{6x^{2}*-{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{6x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{x}^{y}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{6x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))ln(x)}{y} - \frac{6x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*0}{y(x)} - \frac{3x^{2}*-3{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{3x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{3x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} - \frac{x^{3}*-3{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{x^{3}({y}^{(3x)}((0)ln(y) + \frac{(3x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{3}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} + \frac{6x^{3}*-2{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x^{3}{y}^{(2x)}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x^{3}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} + \frac{6x*-{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{6x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} + \frac{6x^{2}*-2{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x^{2}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{6x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}} - \frac{x^{3}*-3{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} - \frac{12x^{3}*-{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{12x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{12x^{3}{y}^{x}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{12x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y} - \frac{2x*-3{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{2x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{2x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} - \frac{2x*-2e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} - \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{2}ln(x)} - \frac{2xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{y^{2}ln^{2}(x)(x)} + \frac{3x^{3}*-3{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{3x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{3x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{y^{3}} + \frac{12x^{2}*-log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + \frac{12x^{2}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{12x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln(x)} + \frac{12x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{yln^{2}(x)(x)} + \frac{12x^{2}*-e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} + \frac{12x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{yln^{2}(x)} + \frac{12x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-2*0}{yln^{3}(x)(x)} + \frac{24x^{3}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{24x^{3}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln(x)} + \frac{24x^{3}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-0}{ln^{2}(x)(x)} + \frac{24x^{3}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + \frac{24x^{3}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln^{2}(x)} + \frac{24x^{3}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-2*0}{ln^{3}(x)(x)} + 8x^{3}(\frac{3{\left(log_{x}^{y}\right)}^{2}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 8x^{3}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})) + \frac{8x^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{ln^{3}(x)} + \frac{8x^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}*-3*0}{ln^{4}(x)(x)} - 2(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}}){x}^{(3y)}ln^{3}(x) - \frac{2({x}^{(3y)}((3)ln(x) + \frac{(3y)(0)}{(x)}))ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{2{x}^{(3y)}*3ln^{2}(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}(x)} + \frac{4(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x{x}^{(2y)}{y}^{x}ln^{2}(x)}{y} + \frac{4x*-{x}^{(2y)}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{4x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)})){y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{4x{x}^{(2y)}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{4x{x}^{(2y)}{y}^{x}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y(x)} - 12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x{x}^{(2y)}log_{x}^{y}ln^{2}(x) - \frac{12x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{12x{x}^{(2y)}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{12x{x}^{(2y)}log_{x}^{y}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}(x)} - 12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x{x}^{(2y)}ln(x) - \frac{12x({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{12x{x}^{(2y)}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}(x)} + 3(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}}){x}^{(2y)}ln^{3}(x) + \frac{3({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{3{x}^{(2y)}*3ln^{2}(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}(x)} - \frac{4(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{y}^{(2x)}{x}^{y}ln(x)}{y^{2}} - \frac{4x^{2}*-2{y}^{(2x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{4x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)})){x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{4x^{2}{y}^{(2x)}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{4x^{2}{y}^{(2x)}{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}(x)} + \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{y} + \frac{12x^{2}*-{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{y}^{x}{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{y}^{x}{x}^{y}log_{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y(x)} + \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{y}^{x}{x}^{y}ln(x)}{y^{2}} + \frac{x*-2{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{x{y}^{x}{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}(x)} - \frac{2(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{x}{x}^{y}ln(x)}{y^{2}} - \frac{2x^{2}*-2{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{2x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x^{2}{y}^{x}{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}(x)} - \frac{2(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}{y}^{x}ln^{2}(x)}{y} - \frac{2x*-{x}^{y}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{2x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{2x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{2x{x}^{y}{y}^{x}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y(x)} - \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{y}^{x}{x}^{y}ln^{2}(x)}{y} - \frac{x*-{y}^{x}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{x{y}^{x}{x}^{y}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y(x)} + \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{y} + \frac{12x^{2}*-{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}{y}^{x}log_{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y(x)} - 24(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}ln(x) - \frac{24x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){\left(log_{x}^{y}\right)}^{2}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{24x^{2}{x}^{y}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{24x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}(x)} + 6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}log_{x}^{y}ln^{2}(x) + \frac{6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{6x{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{6x{x}^{y}log_{x}^{y}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}(x)} - 48(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}log_{x}^{y} - \frac{48x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{48x^{2}{x}^{y}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{24(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}}{ln(x)} - \frac{24x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} - \frac{24x^{2}{x}^{y}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{2}(x)(x)} + 6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}ln(x) + \frac{6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{6x{x}^{y}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}(x)} + \frac{2(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}{y}^{x}ln(x)}{y^{2}} + \frac{2x*-2{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{2x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{2x{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{2x{x}^{y}{y}^{x}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}(x)} - (\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}}){x}^{y}ln^{3}(x) - \frac{({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{{x}^{y}*3ln^{2}(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})(x)} + \frac{2(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x{y}^{x}{x}^{(2y)}ln^{2}(x)}{y} + \frac{2x*-{y}^{x}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{2x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{2x{y}^{x}({x}^{(2y)}((2)ln(x) + \frac{(2y)(0)}{(x)}))ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{2x{y}^{x}{x}^{(2y)}*2ln(x)*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y(x)} - \frac{2(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}{y}^{(2x)}ln(x)}{y^{2}} - \frac{2x^{2}*-2{x}^{y}{y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{2x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{2x^{2}{x}^{y}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{2x^{2}{x}^{y}{y}^{(2x)}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}(x)} + \frac{48(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{x}log_{x}^{y}}{yln(x)} + \frac{48x^{3}*-{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln(x)} + \frac{48x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} + \frac{48x^{3}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} + \frac{48x^{3}{y}^{x}log_{x}^{y}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{2}(x)(x)} + \frac{24(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{y} + \frac{24x^{3}*-{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{24x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{24x^{3}{y}^{x}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{(2x)}log_{x}^{y}}{y^{2}} - \frac{12x^{3}*-2{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{12x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{12x^{3}{y}^{(2x)}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{x}log_{x}^{y}}{y^{2}} + \frac{6x^{2}*-2{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{6x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{6x^{2}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{3}{y}^{x}log_{x}^{y}}{y^{2}} - \frac{6x^{3}*-2{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{6x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{6x^{3}{y}^{x}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{x}^{y}{y}^{x}ln(x)}{y^{2}} - \frac{x^{2}*-2{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{x^{2}{x}^{y}{y}^{x}*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}(x)} - \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{(2x)}}{y^{2}ln(x)} - \frac{12x^{3}*-2{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}ln(x)} - \frac{12x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln(x)} - \frac{12x^{3}{y}^{(2x)}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln^{2}(x)(x)} + \frac{24(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{x}}{yln^{2}(x)} + \frac{24x^{3}*-{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln^{2}(x)} + \frac{24x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{2}(x)} + \frac{24x^{3}{y}^{x}*-2*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{3}(x)(x)} - \frac{6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{3}{y}^{x}}{y^{2}ln(x)} - \frac{6x^{3}*-2{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}ln(x)} - \frac{6x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} - \frac{6x^{3}{y}^{x}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln^{2}(x)(x)} + \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{y}^{x}{x}^{y}}{y} + \frac{12x^{2}*-{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})){x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{y}^{x}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{2}{x}^{y}{y}^{x}}{y} + \frac{12x^{2}*-{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x^{2}({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})){y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{12x^{2}{x}^{y}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{3(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}{y}^{(2x)}}{y^{3}} - \frac{3x^{2}*-3{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{4}} - \frac{3x^{2}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{6(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x{x}^{y}}{y} + \frac{6x*-{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{6x({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{3(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{3}{y}^{(2x)}}{y^{3}} + \frac{3x^{3}*-3{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{4}} + \frac{3x^{3}({y}^{(2x)}((0)ln(y) + \frac{(2x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{2(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x{y}^{x}}{y^{3}} + \frac{2x*-3{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} + \frac{2x({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{3(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x^{2}{y}^{x}}{y^{3}} - \frac{3x^{2}*-3{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} - \frac{3x^{2}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} + \frac{2(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{y}^{(3x)}}{y^{3}} + \frac{2x^{3}*-3{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{4}} + \frac{2x^{3}({y}^{(3x)}((0)ln(y) + \frac{(3x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} + \frac{(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x^{3}{y}^{x}}{y^{3}} + \frac{x^{3}*-3{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} + \frac{x^{3}({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}} - \frac{48(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{\left(log_{x}^{y}\right)}^{2}}{ln(x)} - \frac{48x^{3}(\frac{2log_{x}^{y}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln(x)} - \frac{48x^{3}{\left(log_{x}^{y}\right)}^{2}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{2}(x)(x)} - \frac{48(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}log_{x}^{y}}{ln^{2}(x)} - \frac{48x^{3}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{2}(x)} - \frac{48x^{3}log_{x}^{y}*-2*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{3}(x)(x)} + \frac{12(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}}{yln^{2}(x)} + \frac{12x^{2}*-1}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln^{2}(x)} + \frac{12x^{2}*-2*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln^{3}(x)(x)} + \frac{12(\frac{-2(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}})x^{2}log_{x}^{y}}{yln(x)} + \frac{12x^{2}*-log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} + \frac{12x^{2}(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln(x)} + \frac{12x^{2}log_{x}^{y}*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}yln^{2}(x)(x)} - 16(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}{\left(log_{x}^{y}\right)}^{3} - \frac{16x^{3}(\frac{3{\left(log_{x}^{y}\right)}^{2}(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))})}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{2(\frac{-(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}})x}{y^{2}ln(x)} + \frac{2x*-2}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}ln(x)} + \frac{2x*-0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{2}ln^{2}(x)(x)} - \frac{16(\frac{-3(({x}^{y}((1)ln(x) + \frac{(y)(0)}{(x)})) - ({y}^{x}((0)ln(y) + \frac{(x)(1)}{(y)})) + 2xlog_{x}^{y} + 2xy(\frac{(\frac{(1)}{(y)} - \frac{(0)log_{x}^{y}}{(x)})}{(ln(x))}))}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}})x^{3}}{ln^{3}(x)} - \frac{16x^{3}*-3*0}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}ln^{4}(x)(x)}\\=&{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{4}(x) + 7{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{4}(x) - \frac{8x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} + 8x{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 8x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 6{x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{4}(x) + 24x{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) + 24x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) - \frac{8x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + 24x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 48x^{2}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) - \frac{8x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + 8x{x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + {x}^{(4y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{4}(x) + 8x{x}^{(3y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x) - \frac{24x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} + \frac{5x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{3x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{16x^{2}{y}^{x}{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + \frac{5x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{24x^{3}{y}^{x}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{16x^{2}{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{2x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{16x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} + 24x^{2}{x}^{(2y)}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x) + 48x^{2}{x}^{(2y)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + \frac{7x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{32x^{3}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} - \frac{3x{y}^{x}{x}^{(3y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} - \frac{3x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{5x^{2}{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{8x^{2}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{3x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{3x^{2}{y}^{(2x)}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{x{x}^{(3y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} - \frac{3x^{3}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{8x^{3}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{3x{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} - \frac{16x^{3}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{x^{2}{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{3x^{2}{x}^{(2y)}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{5x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{3x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} - \frac{8x^{2}{x}^{(2y)}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y} - \frac{24x^{3}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{x^{3}{y}^{(3x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{6x{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{4x^{3}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{9x^{2}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} + \frac{8x^{3}{y}^{(2x)}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{4x{y}^{x}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} - \frac{24x^{3}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{8x^{2}{x}^{(2y)}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{8x^{3}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{3x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{16x^{2}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{24x^{4}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} - \frac{x{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{3}(x)}{y} + \frac{24x^{4}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} + \frac{48x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} - \frac{96x^{4}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + 32x^{3}{x}^{y}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x) + \frac{96x^{3}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{16x^{3}{x}^{y}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{2}} - \frac{48x^{4}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} + 24x^{2}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + 24x^{2}{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{12x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} - \frac{8x^{4}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} + \frac{12x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} + \frac{24x^{4}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} - \frac{12x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} + \frac{12x{x}^{(2y)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{8x^{4}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} + \frac{x^{2}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln^{2}(x)}{y^{2}} + \frac{4x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} + \frac{48x^{4}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} - \frac{16x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{3x^{3}{x}^{y}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{24x^{3}{x}^{y}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y} - \frac{96x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{48x^{2}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{32x^{4}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{3}(x)} + \frac{24x^{3}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{x^{3}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}ln(x)}{y^{3}} - \frac{8x^{3}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{24x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{16x^{3}{x}^{y}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{48x^{3}{x}^{y}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} - \frac{16x^{3}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{8x^{3}{y}^{(2x)}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{48x^{3}{y}^{x}{x}^{y}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{11x^{2}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{24x^{3}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{3}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{8x^{4}{y}^{(3x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{24x^{4}{y}^{(2x)}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} + \frac{6x^{3}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{24x^{4}{y}^{(2x)}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{11x^{2}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{16x^{2}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{18x^{3}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{24x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{x^{4}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{4x^{2}{x}^{y}{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} + \frac{7x^{4}{y}^{(2x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} - \frac{8x^{4}{y}^{x}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}} - \frac{32x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y} + \frac{6x{y}^{x}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{4xe^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{3}ln(x)} - \frac{8x{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{16x^{2}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln(x)} - \frac{4x^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}ln^{2}(x)} - \frac{4x^{2}{y}^{x}{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{2}} - \frac{6x^{4}{y}^{(3x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{48x^{3}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln(x)} + \frac{96x^{3}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{2}(x)} + \frac{x^{4}{y}^{(4x)}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{y^{4}} + \frac{48x^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{yln^{3}(x)} + \frac{64x^{4}{\left(log_{x}^{y}\right)}^{3}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln(x)} + \frac{96x^{4}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{2}(x)} + 96x^{3}{x}^{y}{\left(log_{x}^{y}\right)}^{2}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{64x^{4}log_{x}^{y}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{3}(x)} + 16x^{4}{\left(log_{x}^{y}\right)}^{4}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}} + \frac{16x^{4}e^{{x}^{y} - {y}^{x} + 2xylog_{x}^{y}}}{ln^{4}(x)} + \frac{6{x}^{(4y)}ln^{4}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} - \frac{18x{x}^{(3y)}{y}^{x}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{48x{x}^{(3y)}log_{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} + \frac{48x{x}^{(3y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} - \frac{12{x}^{(3y)}ln^{4}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{18x^{2}{y}^{(2x)}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} - \frac{96x^{2}{x}^{(2y)}{y}^{x}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} - \frac{96x^{2}{x}^{(2y)}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} - \frac{10x{x}^{(2y)}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{16x^{2}{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{32x^{3}{y}^{x}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{48x^{2}{y}^{x}{x}^{(2y)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{18x^{2}{x}^{(2y)}{y}^{(2x)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} - \frac{18x^{3}{y}^{(3x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{3}} - \frac{48x^{2}{x}^{y}{\left(log_{x}^{y}\right)}^{2}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} - \frac{48x{x}^{(2y)}log_{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{96x^{3}{y}^{(2x)}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} + \frac{288x^{2}{x}^{(2y)}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} - \frac{48x{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{14x^{2}{y}^{(2x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} + \frac{144x^{2}{x}^{(2y)}{\left(log_{x}^{y}\right)}^{2}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} + \frac{7{x}^{(2y)}ln^{4}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{18x^{3}{y}^{(2x)}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{6x^{2}{x}^{y}{y}^{(2x)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{144x^{3}{y}^{x}{x}^{y}{\left(log_{x}^{y}\right)}^{2}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} - \frac{32x^{2}{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{32x^{2}{x}^{y}{y}^{x}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{16x^{2}{y}^{x}{x}^{y}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{18x{x}^{(2y)}{y}^{x}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{2x{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{7x^{2}{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{5x{x}^{y}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{6x^{2}{x}^{(2y)}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{16x^{3}{x}^{y}{y}^{x}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{3x^{3}{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{3x^{2}{x}^{y}{y}^{x}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{6x^{2}{y}^{(2x)}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{32x^{2}{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{x{y}^{x}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{3x{x}^{y}{y}^{x}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{3x^{2}{y}^{x}{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} - \frac{144x^{3}{x}^{y}{y}^{x}{\left(log_{x}^{y}\right)}^{2}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{16x^{2}{y}^{x}{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{6x{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{48x^{2}{y}^{x}{x}^{(2y)}log_{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{48x^{3}{x}^{y}{y}^{(2x)}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} + \frac{6x^{2}{y}^{x}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{2x{y}^{x}{x}^{(2y)}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{288x^{3}{y}^{x}{x}^{y}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} - \frac{144x^{3}{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}yln(x)} + \frac{5x^{2}{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{x{y}^{x}{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} + \frac{10x^{2}{x}^{y}{y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{288x^{3}{x}^{y}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{192x^{3}{x}^{y}{\left(log_{x}^{y}\right)}^{3}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} - \frac{144x^{3}{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}yln(x)} - \frac{96x^{2}{x}^{y}log_{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{8x{x}^{y}log_{x}^{y}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} + \frac{576x^{3}{x}^{y}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln(x)} + \frac{576x^{3}{x}^{y}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} + \frac{192x^{3}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln^{2}(x)} - \frac{96x^{2}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} - \frac{6x{y}^{x}{x}^{(3y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} + \frac{8x{x}^{y}ln^{2}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}} - \frac{48x^{2}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}} + \frac{144x^{2}{x}^{(2y)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} + \frac{6x{y}^{x}{x}^{(2y)}ln^{3}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{{x}^{y}ln^{4}(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})} - \frac{6x^{3}{x}^{y}{y}^{(2x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{6x^{3}{x}^{y}{y}^{(3x)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{3}} + \frac{288x^{4}{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}ln(x)} - \frac{576x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}yln(x)} - \frac{576x^{4}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}yln^{2}(x)} + \frac{96x^{4}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln(x)} + \frac{48x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln^{2}(x)} + \frac{48x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{144x^{4}{y}^{(2x)}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} - \frac{192x^{4}{y}^{x}{\left(log_{x}^{y}\right)}^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y} - \frac{48x^{4}{y}^{(3x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{3}} - \frac{48x^{3}{y}^{x}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{48x^{3}{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} - \frac{96x^{2}{x}^{y}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} - \frac{48x^{4}{y}^{(2x)}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}} + \frac{24x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}ln(x)} - \frac{16x^{2}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{24x^{3}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{4x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}ln(x)} - \frac{8x^{4}{y}^{x}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} + \frac{12x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}ln(x)} - \frac{x^{3}{x}^{y}{y}^{x}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}} - \frac{48x^{4}{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{3}ln(x)} + \frac{144x^{4}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}ln^{2}(x)} - \frac{48x^{4}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{3}ln(x)} - \frac{8x^{2}{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{192x^{4}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}yln^{3}(x)} - \frac{24x{x}^{(2y)}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y} + \frac{48x^{4}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}ln^{2}(x)} + \frac{32x^{3}{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{12x{x}^{y}ln(x)}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y} - \frac{8x^{4}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{3}ln(x)} + \frac{48x^{3}{x}^{y}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} + \frac{96x^{3}{y}^{(2x)}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{2}} + \frac{16x^{3}{x}^{y}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} + \frac{8x^{2}{y}^{x}{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{2}} - \frac{8x{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}} + \frac{11x^{2}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{4}} + \frac{12x^{4}{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{4}} + \frac{7x^{4}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{4}} - \frac{6x{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} + \frac{11x^{2}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} - \frac{18x^{3}{y}^{(2x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{4}} - \frac{6x^{3}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} + \frac{6x^{4}{y}^{(4x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}y^{4}} - \frac{12x^{3}{y}^{(3x)}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}y^{4}} + \frac{x^{4}{y}^{x}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{4}} - \frac{192x^{3}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{2}(x)} + \frac{384x^{4}{\left(log_{x}^{y}\right)}^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln(x)} + \frac{576x^{4}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln^{2}(x)} + \frac{384x^{4}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln^{3}(x)} - \frac{96x^{3}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln^{3}(x)} - \frac{4x^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln^{2}(x)} - \frac{96x^{3}{\left(log_{x}^{y}\right)}^{2}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{3}yln(x)} - \frac{16x^{2}log_{x}^{y}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{2}y^{2}ln(x)} + \frac{96x^{4}{\left(log_{x}^{y}\right)}^{4}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}} - \frac{4x}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})y^{3}ln(x)} + \frac{96x^{4}}{({x}^{y} - {y}^{x} + 2xylog_{x}^{y})^{4}ln^{4}(x)}\\ \end{split}\end{equation} \]