There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ sin({x}^{5})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x^{5})\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&-217945728000cos(x^{5}) + 844539696000000x^{5}sin(x^{5}) + 34775965224000000x^{10}cos(x^{5}) - 246528402120000000x^{15}sin(x^{5}) - 578651583510000000x^{20}cos(x^{5}) + 596857511250000000x^{25}sin(x^{5}) + 314036848125000000x^{30}cos(x^{5}) - 91638421875000000x^{35}sin(x^{5}) - 15487737890625000x^{40}cos(x^{5}) + 1532958984375000x^{45}sin(x^{5}) + 86645507812500x^{50}cos(x^{5}) - 2563476562500x^{55}sin(x^{5}) - 30517578125x^{60}cos(x^{5})\\ \end{split}\end{equation} \]

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