There are 1 questions in this calculation: for each question, the 6 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 6th\ derivative\ of\ function\ tan(sin(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ \\ &\color{blue}{The\ 6th\ derivative\ of\ function:} \\=&-sin(x)sec^{2}(sin(x)) + 272cos^{6}(x)tan(sin(x))sec^{6}(sin(x)) + 32cos^{2}(x)tan(sin(x))sec^{2}(sin(x)) - 30sin^{2}(x)tan(sin(x))sec^{2}(sin(x)) + 150sin(x)cos^{2}(x)sec^{4}(sin(x)) + 300sin(x)cos^{2}(x)tan^{2}(sin(x))sec^{2}(sin(x)) - 320cos^{4}(x)tan(sin(x))sec^{4}(sin(x)) + 720sin^{2}(x)cos^{2}(x)tan(sin(x))sec^{4}(sin(x)) - 240sin(x)cos^{4}(x)sec^{6}(sin(x)) - 1320sin(x)cos^{4}(x)tan^{2}(sin(x))sec^{4}(sin(x)) + 416cos^{6}(x)tan^{3}(sin(x))sec^{4}(sin(x)) - 160cos^{4}(x)tan^{3}(sin(x))sec^{2}(sin(x)) - 30sin^{3}(x)sec^{4}(sin(x)) - 60sin^{3}(x)tan^{2}(sin(x))sec^{2}(sin(x)) + 360sin^{2}(x)cos^{2}(x)tan^{3}(sin(x))sec^{2}(sin(x)) - 240sin(x)cos^{4}(x)tan^{4}(sin(x))sec^{2}(sin(x)) + 32cos^{6}(x)tan^{5}(sin(x))sec^{2}(sin(x))\\ \end{split}\end{equation} \]

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