本次共计算 1 个题目：每一题对 x 求 1 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数xln(x)cos(tan(csc({x}^{x})))arccos(x) 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( xln(x)cos(tan(csc({x}^{x})))arccos(x)\right)}{dx}\\=&ln(x)cos(tan(csc({x}^{x})))arccos(x) + \frac{xcos(tan(csc({x}^{x})))arccos(x)}{(x)} + xln(x)*-sin(tan(csc({x}^{x})))sec^{2}(csc({x}^{x}))(-csc({x}^{x})cot({x}^{x})({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))arccos(x) + xln(x)cos(tan(csc({x}^{x})))(\frac{-(1)}{((1 - (x)^{2})^{\frac{1}{2}})})\\=&ln(x)cos(tan(csc({x}^{x})))arccos(x) + cos(tan(csc({x}^{x})))arccos(x) + x{x}^{x}ln^{2}(x)sin(tan(csc({x}^{x})))arccos(x)cot({x}^{x})sec^{2}(csc({x}^{x}))csc({x}^{x}) + x{x}^{x}ln(x)sin(tan(csc({x}^{x})))arccos(x)cot({x}^{x})sec^{2}(csc({x}^{x}))csc({x}^{x}) - \frac{xln(x)cos(tan(csc({x}^{x})))}{(-x^{2} + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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