There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ \frac{-(sin(x))}{(2cos(x)cos(x))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{\frac{-1}{2}sin(x)}{cos^{2}(x)}\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&\frac{-19391512145}{2cos(x)} - \frac{596372040824sin^{2}(x)}{cos^{3}(x)} - \frac{7018279091472sin^{4}(x)}{cos^{5}(x)} - \frac{34742943144000sin^{6}(x)}{cos^{7}(x)} - \frac{90608532094080sin^{8}(x)}{cos^{9}(x)} - \frac{135265421491200sin^{10}(x)}{cos^{11}(x)} - \frac{116557375334400sin^{12}(x)}{cos^{13}(x)} - \frac{54050540544000sin^{14}(x)}{cos^{15}(x)} - \frac{10461394944000sin^{16}(x)}{cos^{17}(x)}\\ \end{split}\end{equation} \]

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