There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ {sin(x)}^{15}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin^{15}(x)\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&1307674368000cos^{15}(x) - 434801727360000sin^{2}(x)cos^{13}(x) + 12410538075936000sin^{4}(x)cos^{11}(x) - 84095603255664000sin^{6}(x)cos^{9}(x) + 180080296557361200sin^{8}(x)cos^{7}(x) - 130401590187468600sin^{10}(x)cos^{5}(x) + 29110907400859830sin^{12}(x)cos^{3}(x) - 1358845501841745sin^{14}(x)cos(x)\\ \end{split}\end{equation} \]

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