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。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{-1}{(2(arcsin(x) + xsqrt(1 - {x}^{2})))} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{-1}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{-1}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))}\right)}{dx}\\=&-(\frac{-(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}})\\=& - \frac{2x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( - \frac{2x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}}\right)}{dx}\\=& - \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{2}}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{2*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + 2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})sqrt(-x^{2} + 1) + \frac{2(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}}\\=&\frac{16x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} + \frac{8x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{4x}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{8sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{8sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{16x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} + \frac{8x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{4x}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{8sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{8sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}}\right)}{dx}\\=&\frac{16(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{2}sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{16*2xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{16x^{2}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{4}}{(-x^{2} + 1)} - \frac{8(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{8*4x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} + \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{2}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{3}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{2*3x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{4(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{8(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - 8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})sqrt(-x^{2} + 1)^{2} - \frac{8*2(-x^{2} + 1)^{\frac{1}{2}}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{2}}{(-x^{2} + 1)} + \frac{8(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{8*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{8(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{2(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}}\\=& - \frac{96x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{144x^{2}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{144x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{24x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{32xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{192x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{24xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{24x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{48x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{32x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} + \frac{8x^{3}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48x}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{6x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{10x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{96x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{48x^{3}}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{96sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{16x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48sqrt(-x^{2} + 1)^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{2x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{8x}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{48x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} - \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{16x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} - \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( - \frac{96x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{144x^{2}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{144x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{24x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{32xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{192x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{24xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{24x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{48x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{32x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} + \frac{8x^{3}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48x}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{6x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{10x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{96x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{48x^{3}}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{96sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{16x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48sqrt(-x^{2} + 1)^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{2x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{8x}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{48x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} - \frac{8x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{16x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} - \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{4}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{2}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}}\right)}{dx}\\=& - \frac{96(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{2}sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96*2xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96x^{2}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{144(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{2}sqrt(-x^{2} + 1)^{2}}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{144(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{144*2xsqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{144x^{2}*2(-x^{2} + 1)^{\frac{1}{2}}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{144(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{4}sqrt(-x^{2} + 1)}{(-x^{2} + 1)} + \frac{144(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{144*4x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{144x^{4}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{24(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{24(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{24*3x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{24x^{3}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{32(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{32(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{32sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{32x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{24(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{24(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{24x(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{192(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{2}sqrt(-x^{2} + 1)}{(-x^{2} + 1)} - \frac{192(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{192*2xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} - \frac{192x^{2}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{24(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{24(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{24sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{24x(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{24(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{5}}{(-x^{2} + 1)^{2}} - \frac{24(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24*5x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{6}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{48(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{48*6x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{4}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{48(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{48(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48*4x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{32(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}}{(-x^{2} + 1)^{2}} + \frac{32(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{32*3x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} + \frac{8(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}}{(-x^{2} + 1)^{2}} + \frac{8*3x^{2}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)} + \frac{48}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}}{(-x^{2} + 1)} - \frac{24(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{24*3x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} - \frac{6(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{4}}{(-x^{2} + 1)^{\frac{5}{2}}} - \frac{6(\frac{\frac{-5}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{7}{2}}})x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{6*4x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{10(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{10(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{10*2x}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{96(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{4}}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{96(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{96*4x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{48(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{48(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}}{(-x^{2} + 1)} - \frac{48*3x^{2}}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{96(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})sqrt(-x^{2} + 1)^{2}}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{96*2(-x^{2} + 1)^{\frac{1}{2}}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{2}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} - \frac{96(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} - \frac{96(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + 16(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x + \frac{16}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})sqrt(-x^{2} + 1)^{2}}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{48*2(-x^{2} + 1)^{\frac{1}{2}}(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + 48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})sqrt(-x^{2} + 1)^{3} + \frac{48*3(-x^{2} + 1)(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{2*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x^{3}}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{8(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{8*3x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)^{2}} - \frac{8(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{8(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)^{2}} - \frac{8}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})x^{2}}{(-x^{2} + 1)^{\frac{3}{2}}} - \frac{48(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{48*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})sqrt(-x^{2} + 1)}{(-x^{2} + 1)} + \frac{48(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{48(-2x + 0)*\frac{1}{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{8(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{6(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})x^{2}}{(-x^{2} + 1)^{\frac{5}{2}}} + \frac{6(\frac{\frac{-5}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{7}{2}}})x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{6*2x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{16(\frac{-3(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}})x}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{16(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{16}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48(\frac{-4(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}})}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{48(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{48(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})}{(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{4(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{-2(2(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}) + 2sqrt(-x^{2} + 1) + \frac{2x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}})}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{2(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}}\\=&\frac{2304x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{3456x^{2}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)} - \frac{3456x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{864x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{2}} - \frac{144x^{3}sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{576xsqrt(-x^{2} + 1)}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{288x^{3}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{1152x^{2}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{1536x^{2}sqrt(-x^{2} + 1)^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2304x^{4}sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)} - \frac{288xsqrt(-x^{2} + 1)^{2}}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{576x^{3}sqrt(-x^{2} + 1)}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{288xsqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{1152x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{1536x^{6}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{576x^{5}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{2}} + \frac{96x^{4}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{104x^{2}sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{144x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{336xsqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{768x^{3}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} - \frac{96x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{192xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{72x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{288xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{2}} + \frac{32sqrt(-x^{2} + 1)}{(-x^{2} + 1)^{\frac{1}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{2304x^{2}sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{144xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{144xsqrt(-x^{2} + 1)}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{32sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{432xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)} + \frac{768x^{3}}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{144xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{200x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} + \frac{48sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{96x^{2}}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{288x^{7}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{384x^{8}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{2}} - \frac{432x^{5}}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{1152x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{2}} + \frac{576x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{144x^{5}}{(-x^{2} + 1)^{\frac{5}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{240x^{4}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{1152x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{2}} + \frac{528x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{56x^{4}}{(-x^{2} + 1)^{3}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{336x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{240x^{3}}{(-x^{2} + 1)^{\frac{5}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{56x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} + \frac{264x^{2}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{432x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{96x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} - \frac{120x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{3}} - \frac{30x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{7}{2}}} - \frac{54x^{3}}{(-x^{2} + 1)^{\frac{5}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{528x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{22x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{1152sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} - \frac{1152sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)} + \frac{384x^{6}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{160x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{3}} - \frac{96x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{1152sqrt(-x^{2} + 1)^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{1152sqrt(-x^{2} + 1)^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{240x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{2}} - \frac{432x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{1152x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{144x^{5}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{2}} - \frac{336x}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{40x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{3}} - \frac{96xsqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} - \frac{56x^{2}}{(-x^{2} + 1)^{3}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{384sqrt(-x^{2} + 1)^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{384sqrt(-x^{2} + 1)^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}} + \frac{8x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{40x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{6x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} - \frac{8x}{(-x^{2} + 1)^{\frac{3}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} - \frac{144x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} - \frac{96x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{144x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)} + \frac{96x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{2}} - \frac{288x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} - \frac{48x^{3}}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{48x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{96x}{(-x^{2} + 1)^{\frac{5}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}} + \frac{48x}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{288x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{4}(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} - \frac{1152x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{24x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{24x^{4}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{30x^{3}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{7}{2}}} + \frac{12x}{(-x^{2} + 1)^{\frac{5}{2}}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}} + \frac{384x^{2}}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{2}} - \frac{384sqrt(-x^{2} + 1)}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{384}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{5}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{6x}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{2}(-x^{2} + 1)^{\frac{5}{2}}} + \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} + \frac{16}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{8}{(-x^{2} + 1)^{2}(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} - \frac{16}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)^{2}} + \frac{24}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}(-x^{2} + 1)} + \frac{48}{(-x^{2} + 1)(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}} + \frac{16}{(2arcsin(x) + 2xsqrt(-x^{2} + 1))^{3}}\\ \end{split}\end{equation} \]

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