本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数4{x}^{sqrt(x - \frac{8}{sqrt(x)})} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( 4{x}^{sqrt(x - \frac{8}{sqrt(x)})}\right)}{dx}\\=&4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))\\=&\frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{2{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{2{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x}\right)}{dx}\\=&\frac{8(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{3}{2}}} + \frac{8*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{8({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{3}{2}}(x)} + 2(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x) + \frac{2({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{2{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}(x)} + \frac{4*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})}{x} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}}\\=&\frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{3}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{3}{2}}} - \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} - \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} - \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{3}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{3}{2}}} - \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} - \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} - \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{2}}\right)}{dx}\\=&\frac{4(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x} + \frac{4*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x(x)} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{16(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{5}{2}}} + \frac{16*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{16({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}(x)} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{12(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{5}{2}}} - \frac{12*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{12({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}(x)} + \frac{16(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{3}} + \frac{16*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{16({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{3}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})x^{3}(x)} + \frac{8(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{\frac{3}{2}}} + \frac{8*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{8({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{3}{2}}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{3}{2}}(x)} - \frac{16(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{3}} - \frac{16*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{16({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} - \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}(x)} - \frac{8(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{3}{2}}} - \frac{8*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{8({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}(x)} - (\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x) - \frac{({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} - \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}(x)} + (\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x) + \frac{({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})(x)} + \frac{16(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{5}{2}}} + \frac{16*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{16({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{4(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x} + \frac{4*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x} - \frac{4*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{3}} - \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} - \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{2}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{4*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{3}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{2}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{2}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}}\\=&\frac{-24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{30{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{4}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} - \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{9}{2}}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{3}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{9}{2}}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{3}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{9}{2}}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{3}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{3}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{2(x - \frac{8}{sqrt(x)})^{2}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{3}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{3}}{x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{2}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{7}{2}}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{30{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{4}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} - \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{9}{2}}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{3}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{9}{2}}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{3}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{9}{2}}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{3}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{3}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{2(x - \frac{8}{sqrt(x)})^{2}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{3}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{3}}{x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{2}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{7}{2}}}\right)}{dx}\\=&\frac{-24(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{5}{2}}} - \frac{24*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} - \frac{24({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}(x)} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x} - \frac{3*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} - \frac{3({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x(x)} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{6(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} - \frac{6*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} - \frac{6({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}(x)} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{24(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{5}{2}}} + \frac{24*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} + \frac{24({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}(x)} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{3(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{x} + \frac{3*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{3({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x(x)} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})x(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{6(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{2}} + \frac{6*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{6({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}(x)} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)*2(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{2}} + \frac{8*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{8({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{60(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{7}{2}}} - \frac{60*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} - \frac{60({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x)} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{48(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{4}} - \frac{48*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} - \frac{48({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}(x)} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{48(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{x^{4}} + \frac{48*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{48({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{4}(x)} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})x^{4}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{24(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{\frac{7}{2}}} + \frac{24*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{24({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x)} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)*2(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{6(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x} + \frac{6*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{6({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x(x)} + \frac{32(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{7}{2}}} + \frac{32*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{32({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{48(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{5}{2}}} + \frac{48*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} + \frac{48({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}(x)} + \frac{72(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{4}} + \frac{72*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} + \frac{72({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}(x)} + \frac{18(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{5}{2}}} + \frac{18*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} + \frac{18({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}(x)} + \frac{30(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{7}{2}}} + \frac{30*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{30({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{30{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}(x)} - \frac{72(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{4}} - \frac{72*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{5}} - \frac{72({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{4}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})x^{4}(x)} - \frac{18(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{\frac{5}{2}}} - \frac{18*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} - \frac{18({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{5}{2}}(x)} - \frac{96(\frac{-2(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{3}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{\frac{9}{2}}} - \frac{96*\frac{-9}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{11}{2}}} - \frac{96({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{9}{2}}} - \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{9}{2}}(x)} - \frac{72(\frac{-2(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{3}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{3}} - \frac{72*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{4}} - \frac{72({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{3}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{3}(x)} + \frac{96(\frac{-(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{2}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{4}} + \frac{96*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{96({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})x^{4}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x^{4}(x)} + \frac{32(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{x^{\frac{9}{2}}} + \frac{32*\frac{-9}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{11}{2}}} + \frac{32({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{9}{2}}} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}*3ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{9}{2}}(x)} + \frac{24(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{x^{3}} + \frac{24*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} + \frac{24({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}*3ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{3}(x)} - \frac{18(\frac{-2(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{3}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{x^{\frac{3}{2}}} - \frac{18*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{5}{2}}} - \frac{18({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{3}{2}}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{3}{2}}(x)} + \frac{6(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{x^{\frac{3}{2}}} + \frac{6*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{6({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}*3ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{3}{2}}(x)} + \frac{96(\frac{\frac{-5}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{9}{2}}} + \frac{96*\frac{-9}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{11}{2}}} + \frac{96({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{9}{2}}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{9}{2}}(x)} + \frac{72(\frac{\frac{-5}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{3}} + \frac{72*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{4}} + \frac{72({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{3}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{3}(x)} + \frac{18(\frac{\frac{-5}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{x^{\frac{3}{2}}} + \frac{18*\frac{-3}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{5}{2}}} + \frac{18({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{3}{2}}} + \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{3}{2}}(x)} - \frac{48(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{4}} - \frac{48*-4{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} - \frac{48({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{60(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{7}{2}}} - \frac{60*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} - \frac{60({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{24(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{5}{2}}} - \frac{24*\frac{-5}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} - \frac{24({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{3(\frac{\frac{-5}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{2} + \frac{3({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}} + \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{2(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}(x)} - \frac{3(\frac{-2(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{3}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{2} - \frac{3({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{2}(x)}{2(x - \frac{8}{sqrt(x)})^{2}} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2ln(x)}{2(x - \frac{8}{sqrt(x)})^{2}(x)} - \frac{3(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x} - \frac{3*-{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} - \frac{3({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} + \frac{(\frac{\frac{-3}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{2} + \frac{({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))ln^{3}(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}*3ln^{2}(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}(x)} - \frac{6(\frac{\frac{-1}{2}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}}){x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{2}} - \frac{6*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} - \frac{6({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{8*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{4}} + \frac{8({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})}{x^{3}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{3}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} - \frac{12*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{4}} - \frac{12({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{3}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}*2(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{3}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{4*-3{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{3}}{x^{4}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))sqrt(x - \frac{8}{sqrt(x)})^{3}}{x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}*3(x - \frac{8}{sqrt(x)})(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{x^{3}(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}} + \frac{4*-2{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{3}} + \frac{4({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{x^{2}} + \frac{16*\frac{-7}{2}{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{9}{2}}} + \frac{16({x}^{sqrt(x - \frac{8}{sqrt(x)})}((\frac{(1 - \frac{8*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}})*\frac{1}{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}})ln(x) + \frac{(sqrt(x - \frac{8}{sqrt(x)}))(1)}{(x)}))}{x^{\frac{7}{2}}}\\=&\frac{288{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{4}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{5}{2}}} + \frac{120{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} - \frac{288{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{2}x^{4}} - \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{5}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} - \frac{80{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{2}x} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} - \frac{10{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} - \frac{120{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} - \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{2}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{128{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{28{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{2{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{256{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} - \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{3}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{256{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})x^{5}} - \frac{168{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{14{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} + \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{11}{2}}} - \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{11}{2}}} - \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} + \frac{128{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{11}{2}}} - \frac{232{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{96{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{32{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)sqrt(x - \frac{8}{sqrt(x)})^{3}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x} - \frac{144{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{5}{2}}} + \frac{288{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{160{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} + \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{11}{2}}} - \frac{12{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{576{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{4}} + \frac{8{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} - \frac{240{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} + \frac{128{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{5}} + \frac{56{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} - \frac{768{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{11}{2}}} + \frac{64{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{348{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} - \frac{432{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{4}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} - \frac{54{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{5}{2}}} - \frac{864{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{11}{2}}} - \frac{105{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} + \frac{864{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{11}{2}}} + \frac{432{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{4}} + \frac{348{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{5}} - \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{9}{2}}} - \frac{768{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{54{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{5}{2}}} + \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} - \frac{144{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{3}} - \frac{288{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{11}{2}}} - \frac{144{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{4}} - \frac{18{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{960{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{3}x^{6}} + \frac{960{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{3}x^{\frac{9}{2}}} - \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{6}} + \frac{360{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{3}x^{3}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{3}{2}}} + \frac{64{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{4}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{6}} + \frac{64{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{4}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{9}{2}}} - \frac{48{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}sqrt(x)} - \frac{960{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}x^{\frac{9}{2}}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{4}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{3}} + \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{(x - \frac{8}{sqrt(x)})^{3}x^{\frac{3}{2}}} - \frac{360{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}x^{3}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{4}(x)}{(x - \frac{8}{sqrt(x)})^{2}x^{\frac{3}{2}}} - \frac{960{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}x^{6}} - \frac{60{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}x^{\frac{3}{2}}} - \frac{192{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}sqrt(x)} + \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{5}} + \frac{120{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{\frac{7}{2}}} + \frac{384{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{11}{2}}} + \frac{160{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x^{5}} + \frac{288{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{4}} + \frac{10{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x^{2}} + \frac{72{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x^{\frac{5}{2}}} + \frac{80{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})x^{\frac{7}{2}}} - \frac{15{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln(x)}{4(x - \frac{8}{sqrt(x)})^{\frac{7}{2}}} + \frac{15{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{2}(x)}{4(x - \frac{8}{sqrt(x)})^{3}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}x} - \frac{3{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{3}(x)}{2(x - \frac{8}{sqrt(x)})^{\frac{5}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{3}{2}}x^{2}} + \frac{{x}^{sqrt(x - \frac{8}{sqrt(x)})}ln^{4}(x)}{4(x - \frac{8}{sqrt(x)})^{2}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{3}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{4}} + \frac{44{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{2}}{x^{4}} + \frac{256{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{9}{2}}} - \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{3}}{x^{4}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})^{4}}{x^{4}} + \frac{4{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{3}} + \frac{16{x}^{sqrt(x - \frac{8}{sqrt(x)})}sqrt(x - \frac{8}{sqrt(x)})}{x^{\frac{9}{2}}} + \frac{6{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{2}} + \frac{24{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{(x - \frac{8}{sqrt(x)})^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{20{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{3}} - \frac{104{x}^{sqrt(x - \frac{8}{sqrt(x)})}}{x^{\frac{9}{2}}}\\ \end{split}\end{equation} \]

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