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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{sqrt({x}^{2} - {(x - 3)}^{2} + sqrt({(x + 1)}^{2} - {(x - 3)}^{2}))}{x} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{sqrt(6x + sqrt(8x - 8) - 9)}{x}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{sqrt(6x + sqrt(8x - 8) - 9)}{x}\right)}{dx}\\=&\frac{-sqrt(6x + sqrt(8x - 8) - 9)}{x^{2}} + \frac{(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)*\frac{1}{2}}{x(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}}\\=&\frac{-sqrt(6x + sqrt(8x - 8) - 9)}{x^{2}} + \frac{3}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{-sqrt(6x + sqrt(8x - 8) - 9)}{x^{2}} + \frac{3}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x}\right)}{dx}\\=&\frac{--2sqrt(6x + sqrt(8x - 8) - 9)}{x^{3}} - \frac{(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)*\frac{1}{2}}{x^{2}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{x} + \frac{3*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{2(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{2(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{1}{2}}x} + \frac{2*-1}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}}\\=&\frac{2sqrt(6x + sqrt(8x - 8) - 9)}{x^{3}} - \frac{6}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{12}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x} - \frac{9}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{8}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} - \frac{4}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x} - \frac{2}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{2}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{2sqrt(6x + sqrt(8x - 8) - 9)}{x^{3}} - \frac{6}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{12}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x} - \frac{9}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{8}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} - \frac{4}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x} - \frac{2}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{2}}\right)}{dx}\\=&\frac{2*-3sqrt(6x + sqrt(8x - 8) - 9)}{x^{4}} + \frac{2(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)*\frac{1}{2}}{x^{3}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}} - \frac{6(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{x^{2}} - \frac{6*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} - \frac{2(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{2(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{2}} - \frac{2*-2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} - \frac{12(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{\frac{1}{2}}x} - \frac{12(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{12*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x^{2}} - \frac{9(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{x} - \frac{9*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} - \frac{8(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} - \frac{8(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{3}{2}}x} - \frac{8*-1}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{4(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)x} - \frac{4(\frac{-(8 + 0)}{(8x - 8)^{2}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{4*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x^{2}} - \frac{2(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{2}} - \frac{2(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{2*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{3}}\\=&\frac{-6sqrt(6x + sqrt(8x - 8) - 9)}{x^{4}} + \frac{18}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{8}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x^{2}} + \frac{27}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{16}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{8}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x^{2}} + \frac{4}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{3}} + \frac{108}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)x} + \frac{162}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{1}{2}}x} + \frac{48}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{12}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{81}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} + \frac{96}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{16}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{2}x} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{3}{2}}x} + \frac{8}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{3}{2}}x} + \frac{32}{(8x - 8)^{2}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{4}{(8x - 8)(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{-6sqrt(6x + sqrt(8x - 8) - 9)}{x^{4}} + \frac{18}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{8}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x^{2}} + \frac{27}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{16}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{8}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x^{2}} + \frac{4}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{3}} + \frac{108}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)x} + \frac{162}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{1}{2}}x} + \frac{48}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{12}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{81}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} + \frac{96}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{16}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{2}x} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{3}{2}}x} + \frac{8}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{3}{2}}x} + \frac{32}{(8x - 8)^{2}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{4}{(8x - 8)(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}}\right)}{dx}\\=&\frac{-6*-4sqrt(6x + sqrt(8x - 8) - 9)}{x^{5}} - \frac{6(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)*\frac{1}{2}}{x^{4}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}} + \frac{18(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{x^{3}} + \frac{18*-3}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{4}} + \frac{8(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{8(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{3}} + \frac{8*-3}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{4}} + \frac{24(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{2}} + \frac{24(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{24*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x^{3}} + \frac{27(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{x^{2}} + \frac{27*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}} + \frac{16(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{16(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{16*-2}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{8(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)x^{2}} + \frac{8(\frac{-(8 + 0)}{(8x - 8)^{2}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{8*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x^{3}} + \frac{4(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{3}} + \frac{4(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} + \frac{4*-3}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{4}} + \frac{108(\frac{\frac{-5}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}})}{(8x - 8)x} + \frac{108(\frac{-(8 + 0)}{(8x - 8)^{2}})}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} + \frac{108*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)x^{2}} + \frac{162(\frac{\frac{-5}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}})}{(8x - 8)^{\frac{1}{2}}x} + \frac{162(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} + \frac{162*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{1}{2}}x^{2}} + \frac{48(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{48(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{\frac{3}{2}}x} + \frac{48*-1}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{12(\frac{\frac{-1}{2}(8 + 0)}{(8x - 8)^{\frac{3}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{12(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{\frac{1}{2}}x^{2}} + \frac{12*-2}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}} + \frac{81(\frac{\frac{-5}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}})}{x} + \frac{81*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x^{2}} + \frac{96(\frac{\frac{-5}{2}(8 + 0)}{(8x - 8)^{\frac{7}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} + \frac{96(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{5}{2}}x} + \frac{96*-1}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{16(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{2}x} + \frac{16(\frac{-2(8 + 0)}{(8x - 8)^{3}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{16*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{2}x^{2}} + \frac{24(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{\frac{3}{2}}x} + \frac{24(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{24*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{8(\frac{\frac{-1}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}})}{(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{8(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} + \frac{8*-2}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{3}{2}}x^{3}} + \frac{24(\frac{\frac{-5}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}})}{(8x - 8)^{\frac{3}{2}}x} + \frac{24(\frac{\frac{-3}{2}(8 + 0)}{(8x - 8)^{\frac{5}{2}}})}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} + \frac{24*-1}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} + \frac{32(\frac{-2(8 + 0)}{(8x - 8)^{3}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} + \frac{32(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)^{2}x} + \frac{32*-1}{(8x - 8)^{2}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{4(\frac{-(8 + 0)}{(8x - 8)^{2}})}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} + \frac{4(\frac{\frac{-3}{2}(6 + \frac{(8 + 0)*\frac{1}{2}}{(8x - 8)^{\frac{1}{2}}} + 0)}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}})}{(8x - 8)x^{2}} + \frac{4*-2}{(8x - 8)(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}}\\=&\frac{24sqrt(6x + sqrt(8x - 8) - 9)}{x^{5}} - \frac{72}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{4}} - \frac{24}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{4}} - \frac{96}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{1}{2}}x^{3}} - \frac{108}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}} - \frac{64}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{3}} - \frac{32}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)x^{3}} - \frac{24}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{1}{2}}x^{4}} - \frac{324}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)x^{2}} - \frac{486}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{1}{2}}x^{2}} - \frac{168}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} - \frac{48}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}} - \frac{324}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x^{2}} - \frac{288}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x^{2}} - \frac{80}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{2}x^{2}} - \frac{120}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} - \frac{32}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{3}{2}}x^{3}} - \frac{72}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{3}{2}}x^{2}} - \frac{112}{(8x - 8)^{2}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{2}} - \frac{16}{(8x - 8)(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x^{3}} - \frac{1440}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}(8x - 8)^{\frac{3}{2}}x} - \frac{3240}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}(8x - 8)x} - \frac{1152}{(8x - 8)^{2}(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} - \frac{108}{(8x - 8)(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x^{2}} - \frac{3240}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}(8x - 8)^{\frac{1}{2}}x} - \frac{648}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} - \frac{162}{(8x - 8)^{\frac{1}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x^{2}} - \frac{864}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{576}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{2}x} - \frac{648}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{3}{2}}x} - \frac{1215}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}x} - \frac{1920}{(8x - 8)^{\frac{7}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}x} - \frac{192}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{3}x} - \frac{288}{(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}(8x - 8)^{\frac{5}{2}}x} - \frac{96}{(6x + sqrt(8x - 8) - 9)^{\frac{1}{2}}(8x - 8)^{\frac{5}{2}}x^{2}} - \frac{96}{(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}(8x - 8)^{\frac{5}{2}}x} - \frac{768}{(8x - 8)^{3}(6x + sqrt(8x - 8) - 9)^{\frac{3}{2}}x} - \frac{240}{(6x + sqrt(8x - 8) - 9)^{\frac{7}{2}}(8x - 8)^{2}x} - \frac{480}{(8x - 8)^{\frac{5}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x} - \frac{24}{(8x - 8)^{\frac{3}{2}}(6x + sqrt(8x - 8) - 9)^{\frac{5}{2}}x^{2}}\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！