本次共计算 1 个题目：每一题对 x 求 5 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(xcos(x)) 关于 x 的 5 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ \\ &\color{blue}{函数的 5 阶导数：} \\=&15cos^{3}(x)cos(xcos(x)) - 15sin(xcos(x))sin(x)cos^{3}(x) + 21xsin^{2}(x)sin(xcos(x))cos^{2}(x) - 45sin^{2}(x)cos(xcos(x))cos(x) - 5sin(x)sin(xcos(x))cos^{3}(x) - 2xsin(x)cos(xcos(x))cos^{4}(x) - 3xsin(x)cos^{4}(x)cos(xcos(x)) + 7x^{2}sin^{2}(x)cos(xcos(x))cos^{3}(x) - 15sin^{2}(x)cos(x)cos(xcos(x)) - 70xsin(x)cos^{2}(x)cos(xcos(x)) + 18x^{2}sin(x)sin(xcos(x))cos^{3}(x) + 3x^{2}sin^{2}(x)cos^{3}(x)cos(xcos(x)) + 39xsin(xcos(x))sin^{2}(x)cos^{2}(x) - 9x^{3}sin^{3}(x)cos(xcos(x))cos^{2}(x) - 39x^{2}sin^{3}(x)sin(xcos(x))cos(x) + 12x^{3}sin(x)cos^{2}(x)cos(xcos(x)) + cos(xcos(x))cos^{5}(x) - 75sin(x)sin(xcos(x))cos(x) + 53x^{2}sin^{2}(x)cos(xcos(x))cos(x) + 12x^{2}sin(xcos(x))sin(x)cos^{3}(x) - 60xsin(x)cos(xcos(x))cos^{2}(x) + 57x^{2}sin^{2}(x)cos(x)cos(xcos(x)) - 12x^{2}cos^{3}(x)cos(xcos(x)) - x^{3}sin^{3}(x)cos^{2}(x)cos(xcos(x)) - 24x^{3}sin^{2}(x)sin(xcos(x))cos^{2}(x) + 5x^{4}sin^{4}(x)cos(xcos(x))cos(x) - 6x^{3}sin(xcos(x))sin^{2}(x)cos^{2}(x) - 21x^{2}sin(xcos(x))sin^{3}(x)cos(x) + 3x^{3}sin(x)cos(xcos(x))cos^{2}(x) + 60xsin^{3}(x)cos(xcos(x)) + 10x^{4}sin^{3}(x)sin(xcos(x))cos(x) + 15x^{2}sin(x)sin(xcos(x))cos(x) - 10x^{3}sin^{3}(x)cos(xcos(x)) - 35xsin(xcos(x))cos^{2}(x) + 39xsin^{2}(x)sin(xcos(x)) - 5sin(xcos(x))sin(x)cos(x) + xsin(xcos(x))sin^{2}(x) + 15cos(xcos(x))cos^{3}(x) + 5cos(x)cos(xcos(x)) - xsin(x)cos(xcos(x)) + 19x^{3}sin^{4}(x)sin(xcos(x)) + x^{3}sin(xcos(x))sin^{4}(x) - 3x^{2}cos(xcos(x))cos^{3}(x) - 10xsin(xcos(x))cos^{4}(x) - x^{5}sin^{5}(x)cos(xcos(x))\\ \end{split}\end{equation} \]

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