There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ sin({x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x^{2})\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&518918400xsin(x^{2}) + 2421619200x^{3}cos(x^{2}) - 2905943040x^{5}sin(x^{2}) - 1383782400x^{7}cos(x^{2}) + 307507200x^{9}sin(x^{2}) + 33546240x^{11}cos(x^{2}) - 1720320x^{13}sin(x^{2}) - 32768x^{15}cos(x^{2})\\ \end{split}\end{equation} \]

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