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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(x)cos(x)tan(x)cot(x)csc(x)sec(x) 关于 x 的 5 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sin(x)cos(x)tan(x)cot(x)sec(x)csc(x)\\\\ &\color{blue}{函数的 5 阶导数：} \\=&305cos^{2}(x)tan(x)cot(x)sec(x)csc^{5}(x) - 305sin^{2}(x)tan(x)cot(x)sec(x)csc^{5}(x) + 305sin(x)cos(x)cot(x)sec^{3}(x)csc^{5}(x) - 61sin(x)cos(x)tan(x)sec(x)csc^{7}(x) + 305sin(x)cos(x)tan^{2}(x)cot(x)sec(x)csc^{5}(x) - 479sin(x)cos(x)tan(x)cot^{2}(x)sec(x)csc^{5}(x) - 100cos^{2}(x)sec^{3}(x)csc^{5}(x) - 360cos^{2}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 200sin(x)cos(x)tan(x)sec(x)csc^{5}(x) - 100cos^{2}(x)tan^{2}(x)sec(x)csc^{5}(x) + 750cos^{2}(x)tan(x)cot(x)sec^{3}(x)csc^{3}(x) + 150cos^{2}(x)tan^{3}(x)cot(x)sec(x)csc^{3}(x) - 360cos^{2}(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{3}(x) + 290cos^{2}(x)tan(x)cot^{3}(x)sec(x)csc^{3}(x) - 200cos^{2}(x)tan(x)cot(x)sec(x)csc^{3}(x) + 200sin^{2}(x)tan(x)cot(x)sec(x)csc^{3}(x) - 600sin(x)cos(x)cot(x)sec^{3}(x)csc^{3}(x) - 250sin(x)cos(x)tan(x)sec^{3}(x)csc^{5}(x) - 600sin(x)cos(x)tan^{2}(x)cot(x)sec(x)csc^{3}(x) + 720sin(x)cos(x)tan(x)cot^{2}(x)sec(x)csc^{3}(x) + 100sin^{2}(x)sec^{3}(x)csc^{5}(x) + 360sin^{2}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) - 50sin(x)cos(x)tan^{3}(x)sec(x)csc^{5}(x) + 100sin^{2}(x)tan^{2}(x)sec(x)csc^{5}(x) - 750sin^{2}(x)tan(x)cot(x)sec^{3}(x)csc^{3}(x) - 150sin^{2}(x)tan^{3}(x)cot(x)sec(x)csc^{3}(x) + 360sin^{2}(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{3}(x) - 290sin^{2}(x)tan(x)cot^{3}(x)sec(x)csc^{3}(x) + 600sin(x)cos(x)tan(x)sec^{3}(x)csc^{3}(x) + 250sin(x)cos(x)cot(x)sec^{5}(x)csc^{3}(x) + 120sin(x)cos(x)tan^{3}(x)sec(x)csc^{3}(x) + 900sin(x)cos(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{3}(x) - 900sin(x)cos(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 290sin(x)cos(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) - 80sin(x)cos(x)tan(x)sec(x)csc^{3}(x) + 50sin(x)cos(x)tan^{4}(x)cot(x)sec(x)csc^{3}(x) - 180sin(x)cos(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{3}(x) + 290sin(x)cos(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{3}(x) - 179sin(x)cos(x)tan(x)cot^{4}(x)sec(x)csc^{3}(x) + 80cos^{2}(x)sec^{3}(x)csc^{3}(x) - 80sin^{2}(x)sec^{3}(x)csc^{3}(x) - 305sin(x)cos(x)tan(x)sec^{5}(x)csc^{3}(x) - 290sin(x)cos(x)tan^{3}(x)sec^{3}(x)csc^{3}(x) - 100cos^{2}(x)sec^{5}(x)csc^{3}(x) - 360cos^{2}(x)tan^{2}(x)sec^{3}(x)csc^{3}(x) - 120sin(x)cos(x)cot^{3}(x)sec^{3}(x)csc(x) - 20cos^{2}(x)cot^{4}(x)sec^{3}(x)csc(x) - 5sin(x)cos(x)tan^{5}(x)sec(x)csc^{3}(x) + 80cos^{2}(x)tan^{2}(x)sec(x)csc^{3}(x) - 80sin^{2}(x)tan^{2}(x)sec(x)csc^{3}(x) - 20cos^{2}(x)tan^{4}(x)sec(x)csc^{3}(x) - 200cos^{2}(x)tan(x)cot(x)sec^{3}(x)csc(x) + 200sin^{2}(x)tan(x)cot(x)sec^{3}(x)csc(x) - 200sin(x)cos(x)cot(x)sec^{5}(x)csc(x) - 720sin(x)cos(x)tan^{2}(x)cot(x)sec^{3}(x)csc(x) + 600sin(x)cos(x)tan(x)cot^{2}(x)sec^{3}(x)csc(x) + 305cos^{2}(x)tan(x)cot(x)sec^{5}(x)csc(x) - 100cos^{2}(x)cot^{2}(x)sec^{5}(x)csc(x) + 290cos^{2}(x)tan^{3}(x)cot(x)sec^{3}(x)csc(x) - 360cos^{2}(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc(x) + 150cos^{2}(x)tan(x)cot^{3}(x)sec^{3}(x)csc(x) - 40cos^{2}(x)tan^{3}(x)cot(x)sec(x)csc(x) + 40sin^{2}(x)tan^{3}(x)cot(x)sec(x)csc(x) - 40sin(x)cos(x)tan^{4}(x)cot(x)sec(x)csc(x) + 120sin(x)cos(x)tan^{3}(x)cot^{2}(x)sec(x)csc(x) + 5cos^{2}(x)tan^{5}(x)cot(x)sec(x)csc(x) - 20cos^{2}(x)tan^{4}(x)cot^{2}(x)sec(x)csc(x) + 30cos^{2}(x)tan^{3}(x)cot^{3}(x)sec(x)csc(x) + 80cos^{2}(x)tan^{2}(x)cot^{2}(x)sec(x)csc(x) - 80sin^{2}(x)tan^{2}(x)cot^{2}(x)sec(x)csc(x) - 120sin(x)cos(x)tan^{2}(x)cot^{3}(x)sec(x)csc(x) - 20cos^{2}(x)tan^{2}(x)cot^{4}(x)sec(x)csc(x) - 40cos^{2}(x)tan(x)cot^{3}(x)sec(x)csc(x) + 40sin^{2}(x)tan(x)cot^{3}(x)sec(x)csc(x) + 40sin(x)cos(x)tan(x)cot^{4}(x)sec(x)csc(x) + 5cos^{2}(x)tan(x)cot^{5}(x)sec(x)csc(x) + 16cos^{2}(x)tan(x)cot(x)sec(x)csc(x) - 16sin^{2}(x)tan(x)cot(x)sec(x)csc(x) + 80sin(x)cos(x)cot(x)sec^{3}(x)csc(x) + 80sin(x)cos(x)tan^{2}(x)cot(x)sec(x)csc(x) - 80sin(x)cos(x)tan(x)cot^{2}(x)sec(x)csc(x) + 80cos^{2}(x)cot^{2}(x)sec^{3}(x)csc(x) - 80sin^{2}(x)cot^{2}(x)sec^{3}(x)csc(x) + 100sin^{2}(x)sec^{5}(x)csc^{3}(x) + 360sin^{2}(x)tan^{2}(x)sec^{3}(x)csc^{3}(x) - 150sin^{2}(x)tan(x)cot^{3}(x)sec^{3}(x)csc(x) + 20sin^{2}(x)cot^{4}(x)sec^{3}(x)csc(x) + 20sin^{2}(x)tan^{4}(x)sec(x)csc^{3}(x) - 305sin^{2}(x)tan(x)cot(x)sec^{5}(x)csc(x) + 100sin^{2}(x)cot^{2}(x)sec^{5}(x)csc(x) - 290sin^{2}(x)tan^{3}(x)cot(x)sec^{3}(x)csc(x) + 360sin^{2}(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc(x) - 5sin^{2}(x)tan^{5}(x)cot(x)sec(x)csc(x) + 20sin^{2}(x)tan^{4}(x)cot^{2}(x)sec(x)csc(x) - 30sin^{2}(x)tan^{3}(x)cot^{3}(x)sec(x)csc(x) + 20sin^{2}(x)tan^{2}(x)cot^{4}(x)sec(x)csc(x) - 5sin^{2}(x)tan(x)cot^{5}(x)sec(x)csc(x) + 61sin(x)cos(x)cot(x)sec^{7}(x)csc(x) + 479sin(x)cos(x)tan^{2}(x)cot(x)sec^{5}(x)csc(x) - 305sin(x)cos(x)tan(x)cot^{2}(x)sec^{5}(x)csc(x) + 50sin(x)cos(x)cot^{3}(x)sec^{5}(x)csc(x) + 179sin(x)cos(x)tan^{4}(x)cot(x)sec^{3}(x)csc(x) - 290sin(x)cos(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc(x) + 180sin(x)cos(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc(x) - 50sin(x)cos(x)tan(x)cot^{4}(x)sec^{3}(x)csc(x) + 5sin(x)cos(x)cot^{5}(x)sec^{3}(x)csc(x) + sin(x)cos(x)tan^{6}(x)cot(x)sec(x)csc(x) - 5sin(x)cos(x)tan^{5}(x)cot^{2}(x)sec(x)csc(x) + 10sin(x)cos(x)tan^{4}(x)cot^{3}(x)sec(x)csc(x) - 10sin(x)cos(x)tan^{3}(x)cot^{4}(x)sec(x)csc(x) + 5sin(x)cos(x)tan^{2}(x)cot^{5}(x)sec(x)csc(x) - sin(x)cos(x)tan(x)cot^{6}(x)sec(x)csc(x)\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！