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。
\[ \begin{equation}\begin{split}【1/1】求函数{arcsin(x)}^{tan(x)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( {arcsin(x)}^{tan(x)}\right)}{dx}\\=&({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))\\=&{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x) + \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( {arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x) + \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\right)}{dx}\\=&({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))sec^{2}(x) + \frac{{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(arcsin(x))} + {arcsin(x)}^{tan(x)}ln(arcsin(x))*2sec^{2}(x)tan(x) + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\\=&{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{4}(x) + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x) + \frac{x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( {arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{4}(x) + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x) + \frac{x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\right)}{dx}\\=&({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln^{2}(arcsin(x))sec^{4}(x) + \frac{{arcsin(x)}^{tan(x)}*2ln(arcsin(x))(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(arcsin(x))} + {arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))*4sec^{4}(x)tan(x) + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}sec^{2}(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x) + \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(arcsin(x))} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x) + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x) + \frac{(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x{arcsin(x)}^{tan(x)}tan(x)}{arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{x{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{x{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}*2tan(x)sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}sec^{2}(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)}\\=&{arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))sec^{6}(x) + \frac{{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 6{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x) + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x) + 4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x) + \frac{3x^{2}{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{2x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} - \frac{2x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( {arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))sec^{6}(x) + \frac{{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 6{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x) + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x) + 4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x) + \frac{3x^{2}{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{2x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} - \frac{2x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)}\right)}{dx}\\=&({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln^{3}(arcsin(x))sec^{6}(x) + \frac{{arcsin(x)}^{tan(x)}*3ln^{2}(arcsin(x))(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{6}(x)}{(arcsin(x))} + {arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))*6sec^{6}(x)tan(x) + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}*2ln(arcsin(x))(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{2}(x)(1)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)*4sec^{4}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{arcsin(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))*4sec^{4}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 6({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln^{2}(arcsin(x))tan(x)sec^{4}(x) + \frac{6{arcsin(x)}^{tan(x)}*2ln(arcsin(x))(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{4}(x)}{(arcsin(x))} + 6{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{2}(x)(1)sec^{4}(x) + 6{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)*4sec^{4}(x)tan(x) + \frac{3(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{arcsin(x)} + \frac{3{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(arcsin(x))arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{arcsin(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}*2ln(arcsin(x))(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{2}(x)(1)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)*4sec^{4}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{arcsin(x)} + \frac{4({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))*4sec^{4}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{arcsin(x)} + \frac{4({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{3(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x{arcsin(x)}^{tan(x)}sec^{2}(x)}{arcsin(x)} + \frac{3{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{3x{arcsin(x)}^{tan(x)}*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}} - \frac{2{arcsin(x)}^{tan(x)}*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{4(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{arcsin(x)} + \frac{4({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{4{arcsin(x)}^{tan(x)}sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{arcsin(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(arcsin(x))arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{arcsin(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))sec^{4}(x) + \frac{2{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})sec^{4}(x)}{(arcsin(x))} + 2{arcsin(x)}^{tan(x)}ln(arcsin(x))*4sec^{4}(x)tan(x) + 4({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan^{2}(x)sec^{2}(x) + \frac{4{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(arcsin(x))} + 4{arcsin(x)}^{tan(x)}ln(arcsin(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)*2sec^{2}(x)tan(x) + \frac{3(\frac{\frac{-5}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{7}{2}}})x^{2}{arcsin(x)}^{tan(x)}tan(x)}{arcsin(x)} + \frac{3*2x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{3x^{2}({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{3x^{2}{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}} + \frac{3x^{2}{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{2(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{arcsin^{2}(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{x{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}} + \frac{x{arcsin(x)}^{tan(x)}*2tan(x)sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}})x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} - \frac{(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}})x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} - \frac{x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} - \frac{x{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}} - \frac{x{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{2(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x{arcsin(x)}^{tan(x)}tan^{2}(x)}{arcsin^{2}(x)} + \frac{2{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{2x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{2x{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)}{(-x^{2} + 1)^{2}} + \frac{2x{arcsin(x)}^{tan(x)}*2tan(x)sec^{2}(x)(1)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{arcsin^{2}(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)(arcsin(x))arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)arcsin^{3}(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan^{3}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-3(1)}{arcsin^{4}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{3}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{{arcsin(x)}^{tan(x)}*3tan^{2}(x)sec^{2}(x)(1)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)arcsin^{3}(x)} - \frac{3({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3{arcsin(x)}^{tan(x)}(\frac{-3(1)}{arcsin^{4}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} - \frac{3{arcsin(x)}^{tan(x)}*2tan(x)sec^{2}(x)(1)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{(\frac{\frac{-3}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{5}{2}}}){arcsin(x)}^{tan(x)}tan(x)}{arcsin(x)} + \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{{arcsin(x)}^{tan(x)}(\frac{-(1)}{arcsin^{2}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}} + \frac{{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} - \frac{2(\frac{-2(-2x + 0)}{(-x^{2} + 1)^{3}})x{arcsin(x)}^{tan(x)}tan(x)}{arcsin^{2}(x)} - \frac{2{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{2x({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{2x{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)^{2}} - \frac{2x{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{arcsin^{2}(x)} - \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)(arcsin(x))arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)sec^{2}(x)}{(-x^{2} + 1)} - \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{2}(x)(1)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)*2sec^{2}(x)tan(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{2(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{2(\frac{\frac{-1}{2}(-2x + 0)}{(-x^{2} + 1)^{\frac{3}{2}}}){arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)arcsin^{3}(x)} + \frac{2({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))tan(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{2{arcsin(x)}^{tan(x)}(\frac{-3(1)}{arcsin^{4}(x)((1 - (x)^{2})^{\frac{1}{2}})})tan(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)(1)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{(\frac{-(-2x + 0)}{(-x^{2} + 1)^{2}}){arcsin(x)}^{tan(x)}sec^{2}(x)}{arcsin^{2}(x)} - \frac{({arcsin(x)}^{tan(x)}((sec^{2}(x)(1))ln(arcsin(x)) + \frac{(tan(x))((\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})}))}{(arcsin(x))}))sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}(\frac{-2(1)}{arcsin^{3}(x)((1 - (x)^{2})^{\frac{1}{2}})})sec^{2}(x)}{(-x^{2} + 1)} - \frac{{arcsin(x)}^{tan(x)}*2sec^{2}(x)tan(x)}{(-x^{2} + 1)arcsin^{2}(x)}\\=&{arcsin(x)}^{tan(x)}ln^{4}(arcsin(x))sec^{8}(x) + \frac{12{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{3{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{6}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 16{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x) + \frac{6x{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3{arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))tan(x)sec^{6}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{3{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan^{2}(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{9{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{6}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{18{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan^{2}(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{12x{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{6{arcsin(x)}^{tan(x)}sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{42{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 12{arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))tan(x)sec^{6}(x) + \frac{6{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan^{2}(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{14{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 8{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))sec^{6}(x) + 28{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan^{2}(x)sec^{4}(x) + \frac{12x^{2}{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{3x{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} - \frac{3x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{12x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} - \frac{3{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{9x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{3{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan^{2}(x)sec^{4}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{3{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{8{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{7{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{18x{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{13{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} + \frac{6{arcsin(x)}^{tan(x)}sec^{4}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{12{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} - \frac{9x{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{3{arcsin(x)}^{tan(x)}ln^{2}(arcsin(x))tan(x)sec^{4}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))sec^{4}(x)}{(-x^{2} + 1)arcsin^{2}(x)} - \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{6{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{6{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{12{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{12x^{2}{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} + \frac{3x{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{3x{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{12x{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin(x)} - \frac{9x{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{4{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{6{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}ln^{3}(arcsin(x))tan(x)sec^{6}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{6{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{6{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} + \frac{6{arcsin(x)}^{tan(x)}sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{12{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{2{arcsin(x)}^{tan(x)}sec^{4}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + \frac{4{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}arcsin(x)} + 8{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x) + \frac{15x^{3}{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{7}{2}}arcsin(x)} + \frac{9x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin(x)} + \frac{3x^{2}{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{5}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{5{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{3}(x)} + \frac{12x^{2}{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{3}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{3}(x)} + \frac{3x{arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{5x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{3x^{2}{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{5}{2}}arcsin^{2}(x)} - \frac{12x^{2}{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{3}arcsin^{2}(x)} + \frac{3{arcsin(x)}^{tan(x)}tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} + \frac{2x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{2}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{3}(x)} - \frac{4x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{2}arcsin^{3}(x)} - \frac{6{arcsin(x)}^{tan(x)}tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} - \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{3}(x)} + \frac{3x{arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{3}(x)} + \frac{{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{3}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{4}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{4}(x)} - \frac{6{arcsin(x)}^{tan(x)}tan^{3}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{4}(x)} - \frac{3{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} - \frac{9x{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{3}(x)} - \frac{3{arcsin(x)}^{tan(x)}ln(arcsin(x))tan^{2}(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} + \frac{11{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{4}(x)} + \frac{3{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{2}arcsin^{2}(x)} + \frac{{arcsin(x)}^{tan(x)}tan^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{2}(x)} - \frac{{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{\frac{3}{2}}arcsin^{2}(x)} + \frac{4x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)^{2}arcsin^{3}(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{3}(x)} + \frac{6x{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{5}{2}}arcsin^{3}(x)} + \frac{2{arcsin(x)}^{tan(x)}ln(arcsin(x))tan(x)sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} - \frac{6{arcsin(x)}^{tan(x)}tan(x)}{(-x^{2} + 1)^{\frac{3}{2}}(-x^{2} + 1)^{\frac{1}{2}}arcsin^{4}(x)} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{3}{2}}arcsin^{3}(x)} + \frac{2{arcsin(x)}^{tan(x)}sec^{2}(x)}{(-x^{2} + 1)^{\frac{1}{2}}(-x^{2} + 1)arcsin^{3}(x)}\\ \end{split}\end{equation} \]

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