There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ {e}^{x}cos(sqrt(3)x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {e}^{x}cos(xsqrt(3))\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&-105{e}^{x}cos(xsqrt(3))sqrt(3)^{2} + 455{e}^{x}sin(xsqrt(3))sqrt(3)^{3} + 1365{e}^{x}cos(xsqrt(3))sqrt(3)^{4} - 15{e}^{x}sin(xsqrt(3))sqrt(3) - 3003{e}^{x}sin(xsqrt(3))sqrt(3)^{5} - 5005{e}^{x}cos(xsqrt(3))sqrt(3)^{6} + 6435{e}^{x}sin(xsqrt(3))sqrt(3)^{7} + 6435{e}^{x}cos(xsqrt(3))sqrt(3)^{8} - 5005{e}^{x}sin(xsqrt(3))sqrt(3)^{9} - 3003{e}^{x}cos(xsqrt(3))sqrt(3)^{10} + 1365{e}^{x}sin(xsqrt(3))sqrt(3)^{11} + 455{e}^{x}cos(xsqrt(3))sqrt(3)^{12} - 105{e}^{x}sin(xsqrt(3))sqrt(3)^{13} - 15{e}^{x}cos(xsqrt(3))sqrt(3)^{14} + {e}^{x}cos(xsqrt(3)) + {e}^{x}sin(xsqrt(3))sqrt(3)^{15}\\ \end{split}\end{equation} \]

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