数学
         
语言:中文    Language:English
求导函数:
    输入一个原函数(即需要求导的函数),然后设置需要求导的变量和求导的阶数,点击“下一步”按钮,即可获得该函数相应阶数的导函数。
    注意,输入的函数支持数学函数和其它常量。
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    本次共计算 1 个题目:每一题对 x 求 10 阶导数。
    注意,变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数sin(x)cos(x)tan(x)cot(x)csc(x)sec(x) 关于 x 的 10 阶导数:\\\end{split}\end{equation} \]\[ \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 10 阶导数:} \\=&2702765sin(x)cos(x)tan(x)cot(x)sec(x)csc^{11}(x) + 4546890cos^{2}(x)cot(x)sec^{3}(x)csc^{9}(x) - 505210cos^{2}(x)tan(x)sec(x)csc^{11}(x) + 4546890cos^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{9}(x) - 10735170cos^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{9}(x) - 9093780sin(x)cos(x)tan(x)cot(x)sec(x)csc^{9}(x) - 4546890sin^{2}(x)cot(x)sec^{3}(x)csc^{9}(x) + 505210sin^{2}(x)tan(x)sec(x)csc^{11}(x) - 4546890sin^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{9}(x) + 10735170sin^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{9}(x) - 505210sin(x)cos(x)sec^{3}(x)csc^{11}(x) + 11367225sin(x)cos(x)tan(x)cot(x)sec^{3}(x)csc^{9}(x) - 10735170sin(x)cos(x)cot^{2}(x)sec^{3}(x)csc^{9}(x) - 505210sin(x)cos(x)tan^{2}(x)sec(x)csc^{11}(x) + 2273445sin(x)cos(x)tan^{3}(x)cot(x)sec(x)csc^{9}(x) - 10735170sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{9}(x) + 17460701sin(x)cos(x)tan(x)cot^{3}(x)sec(x)csc^{9}(x) + 1994400sin(x)cos(x)sec^{3}(x)csc^{9}(x) - 2493000cos^{2}(x)tan(x)sec^{3}(x)csc^{9}(x) + 18564840cos^{2}(x)cot^{3}(x)sec^{3}(x)csc^{7}(x) + 664800cos^{2}(x)tan(x)sec(x)csc^{9}(x) - 664800sin^{2}(x)tan(x)sec(x)csc^{9}(x) + 1994400sin(x)cos(x)tan^{2}(x)sec(x)csc^{9}(x) - 498600cos^{2}(x)tan^{3}(x)sec(x)csc^{9}(x) - 34902000sin(x)cos(x)tan(x)cot(x)sec^{3}(x)csc^{7}(x) + 5817000cos^{2}(x)cot(x)sec^{5}(x)csc^{7}(x) + 20941200cos^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{7}(x) - 34250400cos^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{7}(x) - 6980400sin(x)cos(x)tan^{3}(x)cot(x)sec(x)csc^{7}(x) + 1163400cos^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{7}(x) - 6850080cos^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{7}(x) + 27400320sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{7}(x) + 18564840cos^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{7}(x) - 37129680sin(x)cos(x)tan(x)cot^{3}(x)sec(x)csc^{7}(x) - 19497620cos^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{7}(x) + 4653600sin(x)cos(x)tan(x)cot(x)sec(x)csc^{7}(x) - 4653600cos^{2}(x)cot(x)sec^{3}(x)csc^{7}(x) + 3074400cos^{2}(x)tan(x)sec^{3}(x)csc^{7}(x) - 4653600cos^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{7}(x) + 9133440cos^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{7}(x) + 17741850sin(x)cos(x)tan(x)cot(x)sec^{5}(x)csc^{7}(x) + 4653600sin^{2}(x)cot(x)sec^{3}(x)csc^{7}(x) + 4653600sin^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{7}(x) - 9133440sin^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{7}(x) - 831000sin(x)cos(x)sec^{5}(x)csc^{9}(x) + 16869300sin(x)cos(x)tan^{3}(x)cot(x)sec^{3}(x)csc^{7}(x) + 27400320sin(x)cos(x)cot^{2}(x)sec^{3}(x)csc^{7}(x) + 2493000sin^{2}(x)tan(x)sec^{3}(x)csc^{9}(x) - 2991600sin(x)cos(x)tan^{2}(x)sec^{3}(x)csc^{9}(x) - 41100480sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc^{7}(x) + 46412100sin(x)cos(x)tan(x)cot^{3}(x)sec^{3}(x)csc^{7}(x) + 3074400sin(x)cos(x)sec^{5}(x)csc^{7}(x) - 18564840sin^{2}(x)cot^{3}(x)sec^{3}(x)csc^{7}(x) + 498600sin^{2}(x)tan^{3}(x)sec(x)csc^{9}(x) - 166200sin(x)cos(x)tan^{4}(x)sec(x)csc^{9}(x) + 290850sin(x)cos(x)tan^{5}(x)cot(x)sec(x)csc^{7}(x) - 2283360sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec(x)csc^{7}(x) - 5817000sin^{2}(x)cot(x)sec^{5}(x)csc^{7}(x) - 20941200sin^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{7}(x) + 34250400sin^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{7}(x) + 9282420sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec(x)csc^{7}(x) - 3074400sin^{2}(x)tan(x)sec^{3}(x)csc^{7}(x) - 1163400sin^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{7}(x) + 6850080sin^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{7}(x) - 19497620sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec(x)csc^{7}(x) - 18564840sin^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{7}(x) + 16889786sin(x)cos(x)tan(x)cot^{5}(x)sec(x)csc^{7}(x) + 19497620sin^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{7}(x) + 11067840sin(x)cos(x)tan^{2}(x)sec^{3}(x)csc^{7}(x) + 15372000sin(x)cos(x)tan(x)cot(x)sec^{3}(x)csc^{5}(x) - 1229760sin(x)cos(x)sec^{3}(x)csc^{7}(x) - 46884600sin(x)cos(x)tan(x)cot(x)sec^{5}(x)csc^{5}(x) - 11416800sin(x)cos(x)cot^{2}(x)sec^{5}(x)csc^{7}(x) + 614880cos^{2}(x)tan^{3}(x)sec(x)csc^{7}(x) - 614880sin^{2}(x)tan^{3}(x)sec(x)csc^{7}(x) + 614880sin(x)cos(x)tan^{4}(x)sec(x)csc^{7}(x) - 44578800sin(x)cos(x)tan^{3}(x)cot(x)sec^{3}(x)csc^{5}(x) + 86909760sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) - 78397200sin(x)cos(x)tan(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) - 19497620sin(x)cos(x)cot^{4}(x)sec^{3}(x)csc^{7}(x) - 245952cos^{2}(x)tan(x)sec(x)csc^{7}(x) + 245952sin^{2}(x)tan(x)sec(x)csc^{7}(x) - 1229760sin(x)cos(x)tan^{2}(x)sec(x)csc^{7}(x) + 3074400sin(x)cos(x)tan^{3}(x)cot(x)sec(x)csc^{5}(x) - 768600sin(x)cos(x)tan^{5}(x)cot(x)sec(x)csc^{5}(x) + 4828320sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec(x)csc^{5}(x) - 15679440sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec(x)csc^{5}(x) - 937692sin(x)cos(x)sec^{7}(x)csc^{7}(x) - 4688460cos^{2}(x)tan(x)sec^{5}(x)csc^{7}(x) - 1680000sin(x)cos(x)sec^{5}(x)csc^{5}(x) + 4688460sin^{2}(x)tan(x)sec^{5}(x)csc^{7}(x) - 7363188sin(x)cos(x)tan^{2}(x)sec^{5}(x)csc^{7}(x) - 9656640sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{5}(x) - 10452960cos^{2}(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) + 10452960sin^{2}(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) + 26308800sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec(x)csc^{5}(x) + 26308800sin(x)cos(x)cot^{4}(x)sec^{3}(x)csc^{5}(x) - 4457880cos^{2}(x)tan^{3}(x)sec^{3}(x)csc^{7}(x) + 4457880sin^{2}(x)tan^{3}(x)sec^{3}(x)csc^{7}(x) - 2751588sin(x)cos(x)tan^{4}(x)sec^{3}(x)csc^{7}(x) - 819840sin(x)cos(x)tan(x)cot(x)sec(x)csc^{5}(x) + 3074400sin(x)cos(x)sec^{7}(x)csc^{5}(x) - 5124000cos^{2}(x)cot(x)sec^{5}(x)csc^{5}(x) + 5124000sin^{2}(x)cot(x)sec^{5}(x)csc^{5}(x) + 268800sin(x)cos(x)sec^{3}(x)csc^{5}(x) + 10452960sin(x)cos(x)tan(x)cot^{3}(x)sec(x)csc^{5}(x) + 24141600sin(x)cos(x)cot^{2}(x)sec^{5}(x)csc^{5}(x) - 9656640sin(x)cos(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) + 9104940cos^{2}(x)cot^{5}(x)sec^{3}(x)csc^{5}(x) - 76860cos^{2}(x)tan^{5}(x)sec(x)csc^{7}(x) + 76860sin^{2}(x)tan^{5}(x)sec(x)csc^{7}(x) - 15372sin(x)cos(x)tan^{6}(x)sec(x)csc^{7}(x) - 18209880sin(x)cos(x)tan(x)cot^{5}(x)sec(x)csc^{5}(x) - 1008000cos^{2}(x)tan(x)sec^{3}(x)csc^{5}(x) + 1008000sin^{2}(x)tan(x)sec^{3}(x)csc^{5}(x) - 6048000sin(x)cos(x)tan^{2}(x)sec^{3}(x)csc^{5}(x) + 17741850sin(x)cos(x)tan(x)cot(x)sec^{7}(x)csc^{5}(x) + 5124000cos^{2}(x)tan(x)sec^{5}(x)csc^{5}(x) - 5124000sin^{2}(x)tan(x)sec^{5}(x)csc^{5}(x) + 24141600sin(x)cos(x)tan^{2}(x)sec^{5}(x)csc^{5}(x) + 39851910sin(x)cos(x)tan^{3}(x)cot(x)sec^{5}(x)csc^{5}(x) - 57819132sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{5}(x)csc^{5}(x) - 18446400cos^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{5}(x) + 24141600cos^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) + 39851910sin(x)cos(x)tan(x)cot^{3}(x)sec^{5}(x)csc^{5}(x) + 18446400sin^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{5}(x) - 24141600sin^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) + 4872000cos^{2}(x)tan^{3}(x)sec^{3}(x)csc^{5}(x) - 4872000sin^{2}(x)tan^{3}(x)sec^{3}(x)csc^{5}(x) + 9021600sin(x)cos(x)tan^{4}(x)sec^{3}(x)csc^{5}(x) + 6955830sin(x)cos(x)tan^{5}(x)cot(x)sec^{3}(x)csc^{5}(x) - 21606732sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) + 1229760cos^{2}(x)cot(x)sec^{3}(x)csc^{5}(x) - 1229760sin^{2}(x)cot(x)sec^{3}(x)csc^{5}(x) - 831000sin(x)cos(x)sec^{9}(x)csc^{5}(x) + 37891980sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) - 39463200sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{3}(x)csc^{5}(x) + 4688460cos^{2}(x)cot(x)sec^{7}(x)csc^{5}(x) + 36815940cos^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc^{5}(x) - 36815940cos^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc^{5}(x) + 13066200cos^{2}(x)cot^{3}(x)sec^{5}(x)csc^{5}(x) + 22762350sin(x)cos(x)tan(x)cot^{5}(x)sec^{3}(x)csc^{5}(x) + 13757940cos^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc^{5}(x) - 35005320cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) + 12810sin(x)cos(x)tan^{7}(x)cot(x)sec(x)csc^{5}(x) + 47038320cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) - 120708sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec(x)csc^{5}(x) - 32886000cos^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc^{5}(x) + 653310sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec(x)csc^{5}(x) - 1024800cos^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{5}(x) + 4828320cos^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{5}(x) - 2192400sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec(x)csc^{5}(x) + 1024800sin^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{5}(x) - 4828320sin^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{5}(x) - 201600cos^{2}(x)tan^{3}(x)sec(x)csc^{5}(x) + 201600sin^{2}(x)tan^{3}(x)sec(x)csc^{5}(x) - 336000sin(x)cos(x)tan^{4}(x)sec(x)csc^{5}(x) + 4552470sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec(x)csc^{5}(x) - 5402420sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec(x)csc^{5}(x) + 2819266sin(x)cos(x)tan(x)cot^{7}(x)sec(x)csc^{5}(x) + 76860cos^{2}(x)tan^{6}(x)cot(x)sec(x)csc^{5}(x) - 603540cos^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc^{5}(x) - 21772800sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 2613240cos^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc^{5}(x) + 14616000sin(x)cos(x)tan(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) - 6577200cos^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc^{5}(x) + 86909760sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) - 10452960cos^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{5}(x) - 44578800sin(x)cos(x)tan(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) + 10452960sin^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{5}(x) + 32477760sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 1229760cos^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{5}(x) - 1229760sin^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{5}(x) - 42386400sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) + 9104940cos^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc^{5}(x) + 32477760sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) + 8769600cos^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{5}(x) - 13683600sin(x)cos(x)tan(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) - 8769600sin^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{5}(x) - 2016000sin(x)cos(x)tan(x)cot(x)sec^{3}(x)csc^{3}(x) - 1931328cos^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{5}(x) + 1931328sin^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{5}(x) + 15372000sin(x)cos(x)tan(x)cot(x)sec^{5}(x)csc^{3}(x) + 14616000sin(x)cos(x)tan^{3}(x)cot(x)sec^{3}(x)csc^{3}(x) - 5402420cos^{2}(x)tan(x)cot^{6}(x)sec(x)csc^{5}(x) - 34902000sin(x)cos(x)tan(x)cot(x)sec^{7}(x)csc^{3}(x) - 78397200sin(x)cos(x)tan^{3}(x)cot(x)sec^{5}(x)csc^{3}(x) + 84000cos^{2}(x)tan^{5}(x)sec(x)csc^{5}(x) - 84000sin^{2}(x)tan^{5}(x)sec(x)csc^{5}(x) + 50400sin(x)cos(x)tan^{6}(x)sec(x)csc^{5}(x) - 13683600sin(x)cos(x)tan^{5}(x)cot(x)sec^{3}(x)csc^{3}(x) - 4688460sin^{2}(x)cot(x)sec^{7}(x)csc^{5}(x) + 268800sin(x)cos(x)sec^{5}(x)csc^{3}(x) - 403200sin(x)cos(x)tan^{3}(x)cot(x)sec(x)csc^{3}(x) - 7363188sin(x)cos(x)cot^{2}(x)sec^{7}(x)csc^{5}(x) + 38400cos^{2}(x)tan(x)sec(x)csc^{5}(x) - 38400sin^{2}(x)tan(x)sec(x)csc^{5}(x) + 268800sin(x)cos(x)tan^{2}(x)sec(x)csc^{5}(x) + 252000sin(x)cos(x)tan^{5}(x)cot(x)sec(x)csc^{3}(x) - 1229760sin(x)cos(x)sec^{7}(x)csc^{3}(x) - 36815940sin^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc^{5}(x) - 1209600sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec(x)csc^{3}(x) + 36815940sin^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc^{5}(x) - 5817000cos^{2}(x)tan(x)sec^{7}(x)csc^{5}(x) + 5817000sin^{2}(x)tan(x)sec^{7}(x)csc^{5}(x) - 11416800sin(x)cos(x)tan^{2}(x)sec^{7}(x)csc^{5}(x) + 2923200sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec(x)csc^{3}(x) - 25200sin(x)cos(x)tan^{7}(x)cot(x)sec(x)csc^{3}(x) - 13066200sin^{2}(x)cot^{3}(x)sec^{5}(x)csc^{5}(x) + 181440sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec(x)csc^{3}(x) - 10962000sin(x)cos(x)cot^{4}(x)sec^{5}(x)csc^{5}(x) - 13757940sin^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc^{5}(x) + 1994400sin(x)cos(x)sec^{9}(x)csc^{3}(x) - 13066200cos^{2}(x)tan^{3}(x)sec^{5}(x)csc^{5}(x) + 13066200sin^{2}(x)tan^{3}(x)sec^{5}(x)csc^{5}(x) - 10962000sin(x)cos(x)tan^{4}(x)sec^{5}(x)csc^{5}(x) - 730800sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec(x)csc^{3}(x) - 9104940sin^{2}(x)cot^{5}(x)sec^{3}(x)csc^{5}(x) - 5402420sin(x)cos(x)cot^{6}(x)sec^{3}(x)csc^{5}(x) + 1804320sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec(x)csc^{3}(x) - 2736720sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec(x)csc^{3}(x) + 35005320sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc^{5}(x) - 2280600cos^{2}(x)tan^{5}(x)sec^{3}(x)csc^{5}(x) + 2280600sin^{2}(x)tan^{5}(x)sec^{3}(x)csc^{5}(x) - 981600sin(x)cos(x)tan^{6}(x)sec^{3}(x)csc^{5}(x) + 967680sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec(x)csc^{3}(x) - 3608640sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec(x)csc^{3}(x) + 1169280cos^{2}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) - 1169280sin^{2}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) + 967680sin(x)cos(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 2355840sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec(x)csc^{3}(x) - 3608640sin(x)cos(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) - 4200cos^{2}(x)tan^{7}(x)sec(x)csc^{5}(x) + 4200sin^{2}(x)tan^{7}(x)sec(x)csc^{5}(x) - 600sin(x)cos(x)tan^{8}(x)sec(x)csc^{5}(x) - 779520sin(x)cos(x)tan(x)cot^{3}(x)sec(x)csc^{3}(x) - 47038320sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc^{5}(x) + 1824480sin(x)cos(x)tan(x)cot^{5}(x)sec(x)csc^{3}(x) - 884880sin(x)cos(x)tan(x)cot^{7}(x)sec(x)csc^{3}(x) + 32886000sin^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc^{5}(x) + 57600sin(x)cos(x)tan(x)cot(x)sec(x)csc^{3}(x) + 11367225sin(x)cos(x)tan(x)cot(x)sec^{9}(x)csc^{3}(x) - 76860sin^{2}(x)tan^{6}(x)cot(x)sec(x)csc^{5}(x) - 23040sin(x)cos(x)sec^{3}(x)csc^{3}(x) + 115200cos^{2}(x)tan(x)sec^{3}(x)csc^{3}(x) - 115200sin^{2}(x)tan(x)sec^{3}(x)csc^{3}(x) + 967680sin(x)cos(x)tan^{2}(x)sec^{3}(x)csc^{3}(x) + 46412100sin(x)cos(x)tan^{3}(x)cot(x)sec^{7}(x)csc^{3}(x) - 4872000cos^{2}(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) + 4872000sin^{2}(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) - 6048000sin(x)cos(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) - 41100480sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{7}(x)csc^{3}(x) + 9021600sin(x)cos(x)cot^{4}(x)sec^{5}(x)csc^{3}(x) - 1824480cos^{2}(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) + 1824480sin^{2}(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) + 16869300sin(x)cos(x)tan(x)cot^{3}(x)sec^{7}(x)csc^{3}(x) + 2355840sin(x)cos(x)cot^{6}(x)sec^{3}(x)csc^{3}(x) + 11067840sin(x)cos(x)cot^{2}(x)sec^{7}(x)csc^{3}(x) - 1229760cos^{2}(x)tan(x)sec^{5}(x)csc^{3}(x) + 1229760sin^{2}(x)tan(x)sec^{5}(x)csc^{3}(x) - 9656640sin(x)cos(x)tan^{2}(x)sec^{5}(x)csc^{3}(x) + 22762350sin(x)cos(x)tan^{5}(x)cot(x)sec^{5}(x)csc^{3}(x) + 603540sin^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc^{5}(x) - 39463200sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) + 37891980sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) - 1169280cos^{2}(x)tan^{3}(x)sec^{3}(x)csc^{3}(x) + 1169280sin^{2}(x)tan^{3}(x)sec^{3}(x)csc^{3}(x) - 3608640sin(x)cos(x)tan^{4}(x)sec^{3}(x)csc^{3}(x) - 21606732sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{5}(x)csc^{3}(x) + 6955830sin(x)cos(x)tan(x)cot^{5}(x)sec^{5}(x)csc^{3}(x) - 2613240sin^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc^{5}(x) + 1106100sin(x)cos(x)tan^{7}(x)cot(x)sec^{3}(x)csc^{3}(x) + 1008000cos^{2}(x)cot(x)sec^{5}(x)csc^{3}(x) - 1008000sin^{2}(x)cot(x)sec^{5}(x)csc^{3}(x) - 505210sin(x)cos(x)sec^{11}(x)csc^{3}(x) - 3533760sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 6577200sin^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc^{5}(x) + 6613740sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) - 9104940sin^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc^{5}(x) - 8074332sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) + 6613740sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) + 5402420sin^{2}(x)tan(x)cot^{6}(x)sec(x)csc^{5}(x) - 3533760sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec^{3}(x)csc^{3}(x) + 4653600cos^{2}(x)tan(x)sec^{7}(x)csc^{3}(x) - 4653600sin^{2}(x)tan(x)sec^{7}(x)csc^{3}(x) + 27400320sin(x)cos(x)tan^{2}(x)sec^{7}(x)csc^{3}(x) + 1106100sin(x)cos(x)tan(x)cot^{7}(x)sec^{3}(x)csc^{3}(x) - 3628800cos^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 3628800sin^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 225sin(x)cos(x)tan^{9}(x)cot(x)sec(x)csc^{3}(x) + 18446400cos^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) - 18446400sin^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) - 2160sin(x)cos(x)tan^{8}(x)cot^{2}(x)sec(x)csc^{3}(x) + 12180sin(x)cos(x)tan^{7}(x)cot^{3}(x)sec(x)csc^{3}(x) + 17539200cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) - 17539200sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) - 45108sin(x)cos(x)tan^{6}(x)cot^{4}(x)sec(x)csc^{3}(x) - 17539200cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) + 17539200sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) + 114030sin(x)cos(x)tan^{5}(x)cot^{5}(x)sec(x)csc^{3}(x) - 196320sin(x)cos(x)tan^{4}(x)cot^{6}(x)sec(x)csc^{3}(x) + 9021600cos^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) - 9021600sin^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) + 221220sin(x)cos(x)tan^{3}(x)cot^{7}(x)sec(x)csc^{3}(x) + 3628800cos^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{3}(x) - 3628800sin^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc^{3}(x) - 24141600cos^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc^{3}(x) + 24141600sin^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc^{3}(x) - 147570sin(x)cos(x)tan^{2}(x)cot^{8}(x)sec(x)csc^{3}(x) + 44281sin(x)cos(x)tan(x)cot^{9}(x)sec(x)csc^{3}(x) - 9021600cos^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc^{3}(x) + 9021600sin^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc^{3}(x) + 10452960cos^{2}(x)tan^{3}(x)sec^{5}(x)csc^{3}(x) - 10452960sin^{2}(x)tan^{3}(x)sec^{5}(x)csc^{3}(x) + 26308800sin(x)cos(x)tan^{4}(x)sec^{5}(x)csc^{3}(x) - 3074400cos^{2}(x)cot(x)sec^{7}(x)csc^{3}(x) + 3074400sin^{2}(x)cot(x)sec^{7}(x)csc^{3}(x) + 201600cos^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{3}(x) - 201600sin^{2}(x)tan^{4}(x)cot(x)sec(x)csc^{3}(x) - 115200cos^{2}(x)cot(x)sec^{3}(x)csc^{3}(x) + 115200sin^{2}(x)cot(x)sec^{3}(x)csc^{3}(x) - 725760cos^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{3}(x) + 725760sin^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc^{3}(x) + 1824480cos^{2}(x)tan^{5}(x)sec^{3}(x)csc^{3}(x) - 1824480sin^{2}(x)tan^{5}(x)sec^{3}(x)csc^{3}(x) + 2355840sin(x)cos(x)tan^{6}(x)sec^{3}(x)csc^{3}(x) + 23040cos^{2}(x)tan^{3}(x)sec(x)csc^{3}(x) - 23040sin^{2}(x)tan^{3}(x)sec(x)csc^{3}(x) + 53760sin(x)cos(x)tan^{4}(x)sec(x)csc^{3}(x) - 50400cos^{2}(x)tan^{6}(x)cot(x)sec(x)csc^{3}(x) + 50400sin^{2}(x)tan^{6}(x)cot(x)sec(x)csc^{3}(x) - 20160cos^{2}(x)tan^{5}(x)sec(x)csc^{3}(x) + 20160sin^{2}(x)tan^{5}(x)sec(x)csc^{3}(x) - 20160sin(x)cos(x)tan^{6}(x)sec(x)csc^{3}(x) + 3360cos^{2}(x)tan^{7}(x)sec(x)csc^{3}(x) - 3360sin^{2}(x)tan^{7}(x)sec(x)csc^{3}(x) + 1440sin(x)cos(x)tan^{8}(x)sec(x)csc^{3}(x) - 2560cos^{2}(x)tan(x)sec(x)csc^{3}(x) + 2560sin^{2}(x)tan(x)sec(x)csc^{3}(x) - 23040sin(x)cos(x)tan^{2}(x)sec(x)csc^{3}(x) + 2493000cos^{2}(x)cot(x)sec^{9}(x)csc^{3}(x) - 2493000sin^{2}(x)cot(x)sec^{9}(x)csc^{3}(x) - 2991600sin(x)cos(x)cot^{2}(x)sec^{9}(x)csc^{3}(x) + 302400cos^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc^{3}(x) - 302400sin^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc^{3}(x) - 4546890cos^{2}(x)tan(x)sec^{9}(x)csc^{3}(x) + 4546890sin^{2}(x)tan(x)sec^{9}(x)csc^{3}(x) - 10735170sin(x)cos(x)tan^{2}(x)sec^{9}(x)csc^{3}(x) - 18564840cos^{2}(x)tan^{3}(x)sec^{7}(x)csc^{3}(x) + 18564840sin^{2}(x)tan^{3}(x)sec^{7}(x)csc^{3}(x) - 19497620sin(x)cos(x)tan^{4}(x)sec^{7}(x)csc^{3}(x) - 974400cos^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc^{3}(x) + 974400sin^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc^{3}(x) - 9104940cos^{2}(x)tan^{5}(x)sec^{5}(x)csc^{3}(x) + 9104940sin^{2}(x)tan^{5}(x)sec^{5}(x)csc^{3}(x) - 5402420sin(x)cos(x)tan^{6}(x)sec^{5}(x)csc^{3}(x) - 442440cos^{2}(x)tan^{7}(x)sec^{3}(x)csc^{3}(x) + 442440sin^{2}(x)tan^{7}(x)sec^{3}(x)csc^{3}(x) - 147570sin(x)cos(x)tan^{8}(x)sec^{3}(x)csc^{3}(x) + 1804320cos^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc^{3}(x) - 1804320sin^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc^{3}(x) - 115200cos^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{3}(x) + 115200sin^{2}(x)tan^{2}(x)cot(x)sec(x)csc^{3}(x) - 90cos^{2}(x)tan^{9}(x)sec(x)csc^{3}(x) + 90sin^{2}(x)tan^{9}(x)sec(x)csc^{3}(x) - 10sin(x)cos(x)tan^{10}(x)sec(x)csc^{3}(x) + 4457880cos^{2}(x)cot^{3}(x)sec^{7}(x)csc^{3}(x) - 4457880sin^{2}(x)cot^{3}(x)sec^{7}(x)csc^{3}(x) - 2751588sin(x)cos(x)cot^{4}(x)sec^{7}(x)csc^{3}(x) + 2280600cos^{2}(x)cot^{5}(x)sec^{5}(x)csc^{3}(x) - 2280600sin^{2}(x)cot^{5}(x)sec^{5}(x)csc^{3}(x) - 981600sin(x)cos(x)cot^{6}(x)sec^{5}(x)csc^{3}(x) + 1169280cos^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{3}(x) - 1169280sin^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc^{3}(x) - 1824480cos^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc^{3}(x) + 1824480sin^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc^{3}(x) + 442440cos^{2}(x)cot^{7}(x)sec^{3}(x)csc^{3}(x) - 442440sin^{2}(x)cot^{7}(x)sec^{3}(x)csc^{3}(x) - 147570sin(x)cos(x)cot^{8}(x)sec^{3}(x)csc^{3}(x) + 138240cos^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{3}(x) - 138240sin^{2}(x)tan(x)cot^{2}(x)sec(x)csc^{3}(x) - 721728cos^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{3}(x) + 721728sin^{2}(x)tan(x)cot^{4}(x)sec(x)csc^{3}(x) + 785280cos^{2}(x)tan(x)cot^{6}(x)sec(x)csc^{3}(x) - 785280sin^{2}(x)tan(x)cot^{6}(x)sec(x)csc^{3}(x) + 34250400cos^{2}(x)tan^{2}(x)cot(x)sec^{7}(x)csc^{3}(x) - 34250400sin^{2}(x)tan^{2}(x)cot(x)sec^{7}(x)csc^{3}(x) - 20941200cos^{2}(x)tan(x)cot^{2}(x)sec^{7}(x)csc^{3}(x) + 20941200sin^{2}(x)tan(x)cot^{2}(x)sec^{7}(x)csc^{3}(x) + 32886000cos^{2}(x)tan^{4}(x)cot(x)sec^{5}(x)csc^{3}(x) - 32886000sin^{2}(x)tan^{4}(x)cot(x)sec^{5}(x)csc^{3}(x) - 47038320cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) + 47038320sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{5}(x)csc^{3}(x) - 13757940cos^{2}(x)tan(x)cot^{4}(x)sec^{5}(x)csc^{3}(x) - 13081320cos^{2}(x)tan^{3}(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) + 8210160cos^{2}(x)tan^{2}(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) + 35005320cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) - 35005320sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{5}(x)csc^{3}(x) - 2944800cos^{2}(x)tan(x)cot^{6}(x)sec^{3}(x)csc^{3}(x) + 13757940sin^{2}(x)tan(x)cot^{4}(x)sec^{5}(x)csc^{3}(x) + 2944800cos^{2}(x)tan^{6}(x)cot(x)sec^{3}(x)csc^{3}(x) - 2944800sin^{2}(x)tan^{6}(x)cot(x)sec^{3}(x)csc^{3}(x) - 8210160cos^{2}(x)tan^{5}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 8210160sin^{2}(x)tan^{5}(x)cot^{2}(x)sec^{3}(x)csc^{3}(x) + 13081320cos^{2}(x)tan^{4}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) - 13081320sin^{2}(x)tan^{4}(x)cot^{3}(x)sec^{3}(x)csc^{3}(x) + 13081320sin^{2}(x)tan^{3}(x)cot^{4}(x)sec^{3}(x)csc^{3}(x) - 8210160sin^{2}(x)tan^{2}(x)cot^{5}(x)sec^{3}(x)csc^{3}(x) + 2944800sin^{2}(x)tan(x)cot^{6}(x)sec^{3}(x)csc^{3}(x) + 1800cos^{2}(x)tan^{8}(x)cot(x)sec(x)csc^{3}(x) - 1800sin^{2}(x)tan^{8}(x)cot(x)sec(x)csc^{3}(x) - 15120cos^{2}(x)tan^{7}(x)cot^{2}(x)sec(x)csc^{3}(x) + 15120sin^{2}(x)tan^{7}(x)cot^{2}(x)sec(x)csc^{3}(x) + 73080cos^{2}(x)tan^{6}(x)cot^{3}(x)sec(x)csc^{3}(x) - 73080sin^{2}(x)tan^{6}(x)cot^{3}(x)sec(x)csc^{3}(x) - 225540cos^{2}(x)tan^{5}(x)cot^{4}(x)sec(x)csc^{3}(x) + 225540sin^{2}(x)tan^{5}(x)cot^{4}(x)sec(x)csc^{3}(x) + 456120cos^{2}(x)tan^{4}(x)cot^{5}(x)sec(x)csc^{3}(x) - 456120sin^{2}(x)tan^{4}(x)cot^{5}(x)sec(x)csc^{3}(x) - 588960cos^{2}(x)tan^{3}(x)cot^{6}(x)sec(x)csc^{3}(x) + 588960sin^{2}(x)tan^{3}(x)cot^{6}(x)sec(x)csc^{3}(x) + 442440cos^{2}(x)tan^{2}(x)cot^{7}(x)sec(x)csc^{3}(x) - 442440sin^{2}(x)tan^{2}(x)cot^{7}(x)sec(x)csc^{3}(x) - 147570cos^{2}(x)tan(x)cot^{8}(x)sec(x)csc^{3}(x) + 147570sin^{2}(x)tan(x)cot^{8}(x)sec(x)csc^{3}(x) - 23040cos^{2}(x)cot^{3}(x)sec^{3}(x)csc(x) + 23040sin^{2}(x)cot^{3}(x)sec^{3}(x)csc(x) - 403200sin(x)cos(x)tan(x)cot^{3}(x)sec^{3}(x)csc(x) + 53760sin(x)cos(x)cot^{4}(x)sec^{3}(x)csc(x) + 201600cos^{2}(x)cot^{3}(x)sec^{5}(x)csc(x) + 725760cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc(x) - 201600cos^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc(x) + 20160cos^{2}(x)cot^{5}(x)sec^{3}(x)csc(x) - 201600sin^{2}(x)cot^{3}(x)sec^{5}(x)csc(x) - 725760sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{3}(x)csc(x) + 201600sin^{2}(x)tan(x)cot^{4}(x)sec^{3}(x)csc(x) - 20160sin^{2}(x)cot^{5}(x)sec^{3}(x)csc(x) + 3074400sin(x)cos(x)tan(x)cot^{3}(x)sec^{5}(x)csc(x) - 336000sin(x)cos(x)cot^{4}(x)sec^{5}(x)csc(x) + 2923200sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{3}(x)csc(x) - 1209600sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{3}(x)csc(x) + 252000sin(x)cos(x)tan(x)cot^{5}(x)sec^{3}(x)csc(x) - 20160sin(x)cos(x)cot^{6}(x)sec^{3}(x)csc(x) - 84000cos^{2}(x)cot^{5}(x)sec^{5}(x)csc(x) - 302400cos^{2}(x)tan^{2}(x)cot^{5}(x)sec^{3}(x)csc(x) + 50400cos^{2}(x)tan(x)cot^{6}(x)sec^{3}(x)csc(x) - 3360cos^{2}(x)cot^{7}(x)sec^{3}(x)csc(x) + 84000sin^{2}(x)cot^{5}(x)sec^{5}(x)csc(x) + 302400sin^{2}(x)tan^{2}(x)cot^{5}(x)sec^{3}(x)csc(x) - 50400sin^{2}(x)tan(x)cot^{6}(x)sec^{3}(x)csc(x) + 3360sin^{2}(x)cot^{7}(x)sec^{3}(x)csc(x) - 614880cos^{2}(x)cot^{3}(x)sec^{7}(x)csc(x) - 4828320cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{5}(x)csc(x) + 1024800cos^{2}(x)tan(x)cot^{4}(x)sec^{5}(x)csc(x) - 1804320cos^{2}(x)tan^{4}(x)cot^{3}(x)sec^{3}(x)csc(x) + 974400cos^{2}(x)tan^{3}(x)cot^{4}(x)sec^{3}(x)csc(x) + 614880sin^{2}(x)cot^{3}(x)sec^{7}(x)csc(x) + 4828320sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{5}(x)csc(x) - 1024800sin^{2}(x)tan(x)cot^{4}(x)sec^{5}(x)csc(x) + 1804320sin^{2}(x)tan^{4}(x)cot^{3}(x)sec^{3}(x)csc(x) - 974400sin^{2}(x)tan^{3}(x)cot^{4}(x)sec^{3}(x)csc(x) - 6980400sin(x)cos(x)tan(x)cot^{3}(x)sec^{7}(x)csc(x) + 614880sin(x)cos(x)cot^{4}(x)sec^{7}(x)csc(x) - 15679440sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{5}(x)csc(x) + 4828320sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{5}(x)csc(x) - 768600sin(x)cos(x)tan(x)cot^{5}(x)sec^{5}(x)csc(x) + 50400sin(x)cos(x)cot^{6}(x)sec^{5}(x)csc(x) - 2736720sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec^{3}(x)csc(x) + 1804320sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec^{3}(x)csc(x) - 730800sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec^{3}(x)csc(x) + 181440sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec^{3}(x)csc(x) - 25200sin(x)cos(x)tan(x)cot^{7}(x)sec^{3}(x)csc(x) + 1440sin(x)cos(x)cot^{8}(x)sec^{3}(x)csc(x) + 76860cos^{2}(x)cot^{5}(x)sec^{7}(x)csc(x) + 603540cos^{2}(x)tan^{2}(x)cot^{5}(x)sec^{5}(x)csc(x) - 76860cos^{2}(x)tan(x)cot^{6}(x)sec^{5}(x)csc(x) + 4200cos^{2}(x)cot^{7}(x)sec^{5}(x)csc(x) + 225540cos^{2}(x)tan^{4}(x)cot^{5}(x)sec^{3}(x)csc(x) - 73080cos^{2}(x)tan^{3}(x)cot^{6}(x)sec^{3}(x)csc(x) + 15120cos^{2}(x)tan^{2}(x)cot^{7}(x)sec^{3}(x)csc(x) - 1800cos^{2}(x)tan(x)cot^{8}(x)sec^{3}(x)csc(x) + 90cos^{2}(x)cot^{9}(x)sec^{3}(x)csc(x) + 57600sin(x)cos(x)tan(x)cot(x)sec^{3}(x)csc(x) - 38400cos^{2}(x)cot(x)sec^{5}(x)csc(x) - 138240cos^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc(x) + 115200cos^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc(x) + 38400sin^{2}(x)cot(x)sec^{5}(x)csc(x) + 138240sin^{2}(x)tan^{2}(x)cot(x)sec^{3}(x)csc(x) - 115200sin^{2}(x)tan(x)cot^{2}(x)sec^{3}(x)csc(x) - 819840sin(x)cos(x)tan(x)cot(x)sec^{5}(x)csc(x) + 268800sin(x)cos(x)cot^{2}(x)sec^{5}(x)csc(x) - 779520sin(x)cos(x)tan^{3}(x)cot(x)sec^{3}(x)csc(x) + 967680sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{3}(x)csc(x) + 245952cos^{2}(x)cot(x)sec^{7}(x)csc(x) + 1931328cos^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc(x) - 1229760cos^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc(x) + 721728cos^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc(x) - 1169280cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc(x) - 245952sin^{2}(x)cot(x)sec^{7}(x)csc(x) - 1931328sin^{2}(x)tan^{2}(x)cot(x)sec^{5}(x)csc(x) + 1229760sin^{2}(x)tan(x)cot^{2}(x)sec^{5}(x)csc(x) - 721728sin^{2}(x)tan^{4}(x)cot(x)sec^{3}(x)csc(x) + 1169280sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{3}(x)csc(x) + 4653600sin(x)cos(x)tan(x)cot(x)sec^{7}(x)csc(x) - 1229760sin(x)cos(x)cot^{2}(x)sec^{7}(x)csc(x) + 10452960sin(x)cos(x)tan^{3}(x)cot(x)sec^{5}(x)csc(x) - 9656640sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{5}(x)csc(x) + 1824480sin(x)cos(x)tan^{5}(x)cot(x)sec^{3}(x)csc(x) - 3608640sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{3}(x)csc(x) - 664800cos^{2}(x)cot(x)sec^{9}(x)csc(x) - 9133440cos^{2}(x)tan^{2}(x)cot(x)sec^{7}(x)csc(x) + 4653600cos^{2}(x)tan(x)cot^{2}(x)sec^{7}(x)csc(x) - 8769600cos^{2}(x)tan^{4}(x)cot(x)sec^{5}(x)csc(x) + 10452960cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{5}(x)csc(x) - 785280cos^{2}(x)tan^{6}(x)cot(x)sec^{3}(x)csc(x) + 1824480cos^{2}(x)tan^{5}(x)cot^{2}(x)sec^{3}(x)csc(x) + 664800sin^{2}(x)cot(x)sec^{9}(x)csc(x) + 9133440sin^{2}(x)tan^{2}(x)cot(x)sec^{7}(x)csc(x) - 4653600sin^{2}(x)tan(x)cot^{2}(x)sec^{7}(x)csc(x) + 8769600sin^{2}(x)tan^{4}(x)cot(x)sec^{5}(x)csc(x) - 10452960sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{5}(x)csc(x) + 785280sin^{2}(x)tan^{6}(x)cot(x)sec^{3}(x)csc(x) - 1824480sin^{2}(x)tan^{5}(x)cot^{2}(x)sec^{3}(x)csc(x) - 9093780sin(x)cos(x)tan(x)cot(x)sec^{9}(x)csc(x) + 1994400sin(x)cos(x)cot^{2}(x)sec^{9}(x)csc(x) - 37129680sin(x)cos(x)tan^{3}(x)cot(x)sec^{7}(x)csc(x) + 27400320sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{7}(x)csc(x) - 18209880sin(x)cos(x)tan^{5}(x)cot(x)sec^{5}(x)csc(x) + 26308800sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{5}(x)csc(x) - 884880sin(x)cos(x)tan^{7}(x)cot(x)sec^{3}(x)csc(x) + 2355840sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec^{3}(x)csc(x) + 505210cos^{2}(x)cot(x)sec^{11}(x)csc(x) + 10735170cos^{2}(x)tan^{2}(x)cot(x)sec^{9}(x)csc(x) - 4546890cos^{2}(x)tan(x)cot^{2}(x)sec^{9}(x)csc(x) + 498600cos^{2}(x)cot^{3}(x)sec^{9}(x)csc(x) + 19497620cos^{2}(x)tan^{4}(x)cot(x)sec^{7}(x)csc(x) - 18564840cos^{2}(x)tan^{3}(x)cot^{2}(x)sec^{7}(x)csc(x) + 6850080cos^{2}(x)tan^{2}(x)cot^{3}(x)sec^{7}(x)csc(x) - 1163400cos^{2}(x)tan(x)cot^{4}(x)sec^{7}(x)csc(x) + 5402420cos^{2}(x)tan^{6}(x)cot(x)sec^{5}(x)csc(x) - 9104940cos^{2}(x)tan^{5}(x)cot^{2}(x)sec^{5}(x)csc(x) + 6577200cos^{2}(x)tan^{4}(x)cot^{3}(x)sec^{5}(x)csc(x) - 2613240cos^{2}(x)tan^{3}(x)cot^{4}(x)sec^{5}(x)csc(x) + 147570cos^{2}(x)tan^{8}(x)cot(x)sec^{3}(x)csc(x) - 442440cos^{2}(x)tan^{7}(x)cot^{2}(x)sec^{3}(x)csc(x) + 588960cos^{2}(x)tan^{6}(x)cot^{3}(x)sec^{3}(x)csc(x) - 456120cos^{2}(x)tan^{5}(x)cot^{4}(x)sec^{3}(x)csc(x) + 11520sin(x)cos(x)tan^{3}(x)cot(x)sec(x)csc(x) - 7680cos^{2}(x)tan^{4}(x)cot(x)sec(x)csc(x) + 23040cos^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc(x) + 7680sin^{2}(x)tan^{4}(x)cot(x)sec(x)csc(x) - 23040sin^{2}(x)tan^{3}(x)cot^{2}(x)sec(x)csc(x) - 13440sin(x)cos(x)tan^{5}(x)cot(x)sec(x)csc(x) + 53760sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec(x)csc(x) - 80640sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec(x)csc(x) + 4032cos^{2}(x)tan^{6}(x)cot(x)sec(x)csc(x) - 20160cos^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc(x) + 40320cos^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc(x) - 40320cos^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc(x) - 4032sin^{2}(x)tan^{6}(x)cot(x)sec(x)csc(x) + 20160sin^{2}(x)tan^{5}(x)cot^{2}(x)sec(x)csc(x) - 40320sin^{2}(x)tan^{4}(x)cot^{3}(x)sec(x)csc(x) + 40320sin^{2}(x)tan^{3}(x)cot^{4}(x)sec(x)csc(x) + 3360sin(x)cos(x)tan^{7}(x)cot(x)sec(x)csc(x) - 20160sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec(x)csc(x) + 50400sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec(x)csc(x) - 67200sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec(x)csc(x) + 50400sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec(x)csc(x) - 480cos^{2}(x)tan^{8}(x)cot(x)sec(x)csc(x) + 3360cos^{2}(x)tan^{7}(x)cot^{2}(x)sec(x)csc(x) - 10080cos^{2}(x)tan^{6}(x)cot^{3}(x)sec(x)csc(x) + 16800cos^{2}(x)tan^{5}(x)cot^{4}(x)sec(x)csc(x) - 16800cos^{2}(x)tan^{4}(x)cot^{5}(x)sec(x)csc(x) + 10080cos^{2}(x)tan^{3}(x)cot^{6}(x)sec(x)csc(x) + 480sin^{2}(x)tan^{8}(x)cot(x)sec(x)csc(x) - 3360sin^{2}(x)tan^{7}(x)cot^{2}(x)sec(x)csc(x) + 10080sin^{2}(x)tan^{6}(x)cot^{3}(x)sec(x)csc(x) - 16800sin^{2}(x)tan^{5}(x)cot^{4}(x)sec(x)csc(x) + 16800sin^{2}(x)tan^{4}(x)cot^{5}(x)sec(x)csc(x) - 10080sin^{2}(x)tan^{3}(x)cot^{6}(x)sec(x)csc(x) - 180sin(x)cos(x)tan^{9}(x)cot(x)sec(x)csc(x) + 1440sin(x)cos(x)tan^{8}(x)cot^{2}(x)sec(x)csc(x) - 5040sin(x)cos(x)tan^{7}(x)cot^{3}(x)sec(x)csc(x) + 10080sin(x)cos(x)tan^{6}(x)cot^{4}(x)sec(x)csc(x) - 12600sin(x)cos(x)tan^{5}(x)cot^{5}(x)sec(x)csc(x) + 10080sin(x)cos(x)tan^{4}(x)cot^{6}(x)sec(x)csc(x) - 5040sin(x)cos(x)tan^{3}(x)cot^{7}(x)sec(x)csc(x) + 10cos^{2}(x)tan^{10}(x)cot(x)sec(x)csc(x) - 90cos^{2}(x)tan^{9}(x)cot^{2}(x)sec(x)csc(x) + 360cos^{2}(x)tan^{8}(x)cot^{3}(x)sec(x)csc(x) - 840cos^{2}(x)tan^{7}(x)cot^{4}(x)sec(x)csc(x) + 1260cos^{2}(x)tan^{6}(x)cot^{5}(x)sec(x)csc(x) - 1260cos^{2}(x)tan^{5}(x)cot^{6}(x)sec(x)csc(x) + 840cos^{2}(x)tan^{4}(x)cot^{7}(x)sec(x)csc(x) - 360cos^{2}(x)tan^{3}(x)cot^{8}(x)sec(x)csc(x) - 23040sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec(x)csc(x) - 23040cos^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc(x) + 23040sin^{2}(x)tan^{2}(x)cot^{3}(x)sec(x)csc(x) + 53760sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec(x)csc(x) + 20160cos^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc(x) - 20160sin^{2}(x)tan^{2}(x)cot^{5}(x)sec(x)csc(x) - 20160sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec(x)csc(x) - 3360cos^{2}(x)tan^{2}(x)cot^{7}(x)sec(x)csc(x) + 3360sin^{2}(x)tan^{2}(x)cot^{7}(x)sec(x)csc(x) + 1440sin(x)cos(x)tan^{2}(x)cot^{8}(x)sec(x)csc(x) + 90cos^{2}(x)tan^{2}(x)cot^{9}(x)sec(x)csc(x) + 11520sin(x)cos(x)tan(x)cot^{3}(x)sec(x)csc(x) + 7680cos^{2}(x)tan(x)cot^{4}(x)sec(x)csc(x) - 7680sin^{2}(x)tan(x)cot^{4}(x)sec(x)csc(x) - 13440sin(x)cos(x)tan(x)cot^{5}(x)sec(x)csc(x) - 4032cos^{2}(x)tan(x)cot^{6}(x)sec(x)csc(x) + 4032sin^{2}(x)tan(x)cot^{6}(x)sec(x)csc(x) + 3360sin(x)cos(x)tan(x)cot^{7}(x)sec(x)csc(x) + 480cos^{2}(x)tan(x)cot^{8}(x)sec(x)csc(x) - 480sin^{2}(x)tan(x)cot^{8}(x)sec(x)csc(x) - 180sin(x)cos(x)tan(x)cot^{9}(x)sec(x)csc(x) - 10cos^{2}(x)tan(x)cot^{10}(x)sec(x)csc(x) - 1024sin(x)cos(x)tan(x)cot(x)sec(x)csc(x) + 2560cos^{2}(x)cot(x)sec^{3}(x)csc(x) + 2560cos^{2}(x)tan^{2}(x)cot(x)sec(x)csc(x) - 2560cos^{2}(x)tan(x)cot^{2}(x)sec(x)csc(x) - 2560sin^{2}(x)cot(x)sec^{3}(x)csc(x) - 2560sin^{2}(x)tan^{2}(x)cot(x)sec(x)csc(x) + 2560sin^{2}(x)tan(x)cot^{2}(x)sec(x)csc(x) - 23040sin(x)cos(x)cot^{2}(x)sec^{3}(x)csc(x) - 498600sin^{2}(x)cot^{3}(x)sec^{9}(x)csc(x) - 6850080sin^{2}(x)tan^{2}(x)cot^{3}(x)sec^{7}(x)csc(x) + 1163400sin^{2}(x)tan(x)cot^{4}(x)sec^{7}(x)csc(x) - 76860sin^{2}(x)cot^{5}(x)sec^{7}(x)csc(x) - 6577200sin^{2}(x)tan^{4}(x)cot^{3}(x)sec^{5}(x)csc(x) + 2613240sin^{2}(x)tan^{3}(x)cot^{4}(x)sec^{5}(x)csc(x) - 603540sin^{2}(x)tan^{2}(x)cot^{5}(x)sec^{5}(x)csc(x) + 76860sin^{2}(x)tan(x)cot^{6}(x)sec^{5}(x)csc(x) - 4200sin^{2}(x)cot^{7}(x)sec^{5}(x)csc(x) - 588960sin^{2}(x)tan^{6}(x)cot^{3}(x)sec^{3}(x)csc(x) + 456120sin^{2}(x)tan^{5}(x)cot^{4}(x)sec^{3}(x)csc(x) - 225540sin^{2}(x)tan^{4}(x)cot^{5}(x)sec^{3}(x)csc(x) + 73080sin^{2}(x)tan^{3}(x)cot^{6}(x)sec^{3}(x)csc(x) - 15120sin^{2}(x)tan^{2}(x)cot^{7}(x)sec^{3}(x)csc(x) + 1800sin^{2}(x)tan(x)cot^{8}(x)sec^{3}(x)csc(x) - 90sin^{2}(x)cot^{9}(x)sec^{3}(x)csc(x) - 505210sin^{2}(x)cot(x)sec^{11}(x)csc(x) - 10735170sin^{2}(x)tan^{2}(x)cot(x)sec^{9}(x)csc(x) + 4546890sin^{2}(x)tan(x)cot^{2}(x)sec^{9}(x)csc(x) - 19497620sin^{2}(x)tan^{4}(x)cot(x)sec^{7}(x)csc(x) + 18564840sin^{2}(x)tan^{3}(x)cot^{2}(x)sec^{7}(x)csc(x) - 5402420sin^{2}(x)tan^{6}(x)cot(x)sec^{5}(x)csc(x) + 9104940sin^{2}(x)tan^{5}(x)cot^{2}(x)sec^{5}(x)csc(x) - 147570sin^{2}(x)tan^{8}(x)cot(x)sec^{3}(x)csc(x) + 442440sin^{2}(x)tan^{7}(x)cot^{2}(x)sec^{3}(x)csc(x) - 10sin^{2}(x)tan^{10}(x)cot(x)sec(x)csc(x) + 90sin^{2}(x)tan^{9}(x)cot^{2}(x)sec(x)csc(x) - 360sin^{2}(x)tan^{8}(x)cot^{3}(x)sec(x)csc(x) + 840sin^{2}(x)tan^{7}(x)cot^{4}(x)sec(x)csc(x) - 1260sin^{2}(x)tan^{6}(x)cot^{5}(x)sec(x)csc(x) + 1260sin^{2}(x)tan^{5}(x)cot^{6}(x)sec(x)csc(x) - 840sin^{2}(x)tan^{4}(x)cot^{7}(x)sec(x)csc(x) + 360sin^{2}(x)tan^{3}(x)cot^{8}(x)sec(x)csc(x) - 90sin^{2}(x)tan^{2}(x)cot^{9}(x)sec(x)csc(x) + 10sin^{2}(x)tan(x)cot^{10}(x)sec(x)csc(x) + 2702765sin(x)cos(x)tan(x)cot(x)sec^{11}(x)csc(x) - 505210sin(x)cos(x)cot^{2}(x)sec^{11}(x)csc(x) + 17460701sin(x)cos(x)tan^{3}(x)cot(x)sec^{9}(x)csc(x) - 10735170sin(x)cos(x)tan^{2}(x)cot^{2}(x)sec^{9}(x)csc(x) + 2273445sin(x)cos(x)tan(x)cot^{3}(x)sec^{9}(x)csc(x) - 166200sin(x)cos(x)cot^{4}(x)sec^{9}(x)csc(x) + 16889786sin(x)cos(x)tan^{5}(x)cot(x)sec^{7}(x)csc(x) - 19497620sin(x)cos(x)tan^{4}(x)cot^{2}(x)sec^{7}(x)csc(x) + 9282420sin(x)cos(x)tan^{3}(x)cot^{3}(x)sec^{7}(x)csc(x) - 2283360sin(x)cos(x)tan^{2}(x)cot^{4}(x)sec^{7}(x)csc(x) + 290850sin(x)cos(x)tan(x)cot^{5}(x)sec^{7}(x)csc(x) - 15372sin(x)cos(x)cot^{6}(x)sec^{7}(x)csc(x) + 2819266sin(x)cos(x)tan^{7}(x)cot(x)sec^{5}(x)csc(x) - 5402420sin(x)cos(x)tan^{6}(x)cot^{2}(x)sec^{5}(x)csc(x) + 4552470sin(x)cos(x)tan^{5}(x)cot^{3}(x)sec^{5}(x)csc(x) - 2192400sin(x)cos(x)tan^{4}(x)cot^{4}(x)sec^{5}(x)csc(x) + 653310sin(x)cos(x)tan^{3}(x)cot^{5}(x)sec^{5}(x)csc(x) - 120708sin(x)cos(x)tan^{2}(x)cot^{6}(x)sec^{5}(x)csc(x) + 12810sin(x)cos(x)tan(x)cot^{7}(x)sec^{5}(x)csc(x) - 600sin(x)cos(x)cot^{8}(x)sec^{5}(x)csc(x) + 44281sin(x)cos(x)tan^{9}(x)cot(x)sec^{3}(x)csc(x) - 147570sin(x)cos(x)tan^{8}(x)cot^{2}(x)sec^{3}(x)csc(x) + 221220sin(x)cos(x)tan^{7}(x)cot^{3}(x)sec^{3}(x)csc(x) - 196320sin(x)cos(x)tan^{6}(x)cot^{4}(x)sec^{3}(x)csc(x) + 114030sin(x)cos(x)tan^{5}(x)cot^{5}(x)sec^{3}(x)csc(x) - 45108sin(x)cos(x)tan^{4}(x)cot^{6}(x)sec^{3}(x)csc(x) + 12180sin(x)cos(x)tan^{3}(x)cot^{7}(x)sec^{3}(x)csc(x) - 2160sin(x)cos(x)tan^{2}(x)cot^{8}(x)sec^{3}(x)csc(x) + 225sin(x)cos(x)tan(x)cot^{9}(x)sec^{3}(x)csc(x) - 10sin(x)cos(x)cot^{10}(x)sec^{3}(x)csc(x) + sin(x)cos(x)tan^{11}(x)cot(x)sec(x)csc(x) - 10sin(x)cos(x)tan^{10}(x)cot^{2}(x)sec(x)csc(x) + 45sin(x)cos(x)tan^{9}(x)cot^{3}(x)sec(x)csc(x) - 120sin(x)cos(x)tan^{8}(x)cot^{4}(x)sec(x)csc(x) + 210sin(x)cos(x)tan^{7}(x)cot^{5}(x)sec(x)csc(x) - 252sin(x)cos(x)tan^{6}(x)cot^{6}(x)sec(x)csc(x) + 210sin(x)cos(x)tan^{5}(x)cot^{7}(x)sec(x)csc(x) - 120sin(x)cos(x)tan^{4}(x)cot^{8}(x)sec(x)csc(x) + 45sin(x)cos(x)tan^{3}(x)cot^{9}(x)sec(x)csc(x) - 10sin(x)cos(x)tan^{2}(x)cot^{10}(x)sec(x)csc(x) + sin(x)cos(x)tan(x)cot^{11}(x)sec(x)csc(x)\\ \end{split}\end{equation} \]



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