There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ {(3{x}^{2} + 1)}^{27}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (3x^{2} + 1)^{27}\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&-1745659271086866432(3x^{2} + 1)^{12}x^{15} - 6606866881934524416(3x^{2} + 1)^{13}x^{13} - 1091037044429291520(3x^{2} + 1)^{14}x^{11} - 3296705632446447616(3x^{2} + 1)^{15}x^{9} - 3767830666862395392(3x^{2} + 1)^{16}x^{7} + 8959715808962150400(3x^{2} + 1)^{17}x^{5} + 7141197839849029632(3x^{2} + 1)^{18}x^{3} + 859030551595352064(3x^{2} + 1)^{19}x\\ \end{split}\end{equation} \]

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