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。
\[ \begin{equation}\begin{split}【1/1】求函数sin(2147483647tan(2147483647cos(2137483647x))) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( sin(2147483647tan(2147483647cos(2137483647x)))\right)}{dx}\\=&cos(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)\\=&-4654635697819838847sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x))\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( -4654635697819838847sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x))\right)}{dx}\\=&-4654635697819838847cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) - 4654635697819838847sin(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) - 4654635697819838847sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647\\=&-7907291188895116545cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) + 7200998037111739135sin^{2}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) + 3905392866644010494sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( -7907291188895116545cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) + 7200998037111739135sin^{2}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) + 3905392866644010494sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))\right)}{dx}\\=&-7907291188895116545*-sin(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) - 7907291188895116545cos(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) - 7907291188895116545cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 + 7200998037111739135*2sin(2137483647x)cos(2137483647x)*2137483647sin(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) + 7200998037111739135sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{4}(2147483647cos(2137483647x)) + 7200998037111739135sin^{2}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))*4sec^{4}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 + 3905392866644010494*2sin(2137483647x)cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 3905392866644010494sin^{2}(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 3905392866644010494sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) + 3905392866644010494sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647\\=&-680350979938878337sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) + 2794972107179133571sin(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{4}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 7331878449417061249sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{6}(2147483647cos(2137483647x)) - 7491194673561398010sin^{3}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 8012229429355939586sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) - 2422285214997672444sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( -680350979938878337sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) + 2794972107179133571sin(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{4}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 7331878449417061249sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{6}(2147483647cos(2137483647x)) - 7491194673561398010sin^{3}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 8012229429355939586sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) - 2422285214997672444sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))\right)}{dx}\\=&-680350979938878337cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) - 680350979938878337sin(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) - 680350979938878337sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 + 2794972107179133571cos(2137483647x)*2137483647sin(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{4}(2147483647cos(2137483647x)) + 2794972107179133571sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)cos(2137483647x)sec^{4}(2147483647cos(2137483647x)) + 2794972107179133571sin(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))*-sin(2137483647x)*2137483647sec^{4}(2147483647cos(2137483647x)) + 2794972107179133571sin(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)*4sec^{4}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 - 9148592360665315582cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)cos(2137483647x)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*-sin(2137483647x)*2137483647tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) - 9148592360665315582sin(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan(2147483647cos(2137483647x))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 - 7331878449417061249*3sin^{2}(2137483647x)cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))sec^{6}(2147483647cos(2137483647x)) - 7331878449417061249sin^{3}(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{6}(2147483647cos(2137483647x)) - 7331878449417061249sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*6sec^{6}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 - 7491194673561398010*3sin^{2}(2137483647x)cos(2137483647x)*2137483647sin(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) - 7491194673561398010sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) - 7491194673561398010sin^{3}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{4}(2147483647cos(2137483647x)) - 7491194673561398010sin^{3}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))*4sec^{4}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 + 149559352378920452cos(2137483647x)*2137483647cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)*-sin(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)cos(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) + 149559352378920452sin(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 + 8012229429355939586*3sin^{2}(2137483647x)cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) + 8012229429355939586sin^{3}(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{4}(2147483647cos(2137483647x)) + 8012229429355939586sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*4sec^{4}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647 - 2422285214997672444*3sin^{2}(2137483647x)cos(2137483647x)*2137483647cos(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 2422285214997672444sin^{3}(2137483647x)*-sin(2147483647tan(2147483647cos(2137483647x)))*2147483647sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 2422285214997672444sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))*2tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))(2147483647*-sin(2137483647x)*2137483647)sec^{2}(2147483647cos(2137483647x)) - 2422285214997672444sin^{3}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))*2sec^{2}(2147483647cos(2137483647x))tan(2147483647cos(2137483647x))*2147483647*-sin(2137483647x)*2137483647\\=&-4477428880080119295cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{2}(2147483647cos(2137483647x)) + 5220939274441943044sin^{2}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) - 153072079355365364sin^{4}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{6}(2147483647cos(2137483647x)) - 3915704455831457283sin(2147483647tan(2147483647cos(2137483647x)))cos^{2}(2137483647x)sec^{4}(2147483647cos(2137483647x)) + 2816951478193720835sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{6}(2147483647cos(2137483647x)) + 5720924580122810332sin^{2}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) + 4904896165981512698cos^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 5757967827831017480sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) - 2610469637220971522sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)sec^{4}(2147483647cos(2137483647x)) - 2437013024058220560sin^{2}(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 2816951478193720835sin^{2}(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{6}(2147483647cos(2137483647x)) - 5576181857717855743sin^{4}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{8}(2147483647cos(2137483647x)) + 6641909607545593840sin^{4}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) - 5633902956387441670sin(2147483647tan(2147483647cos(2137483647x)))sin^{4}(2137483647x)sec^{6}(2147483647cos(2137483647x)) + 4453026326374524900sin^{4}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))tan^{2}(2147483647cos(2137483647x))sec^{4}(2147483647cos(2137483647x)) + 5394395887604694006sin^{2}(2137483647x)cos(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))sec^{4}(2147483647cos(2137483647x)) + 8004865524825665528sin^{2}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))cos(2137483647x)tan^{2}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x)) + 4270947039107369982sin^{4}(2137483647x)sin(2147483647tan(2147483647cos(2137483647x)))sec^{6}(2147483647cos(2137483647x)) + 3320954803772796920sin^{4}(2137483647x)cos(2147483647tan(2147483647cos(2137483647x)))tan^{3}(2147483647cos(2137483647x))sec^{2}(2147483647cos(2137483647x))\\ \end{split}\end{equation} \]

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