There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ cos(ax) - ln(1 - {x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cos(ax) - ln(-x^{2} + 1)\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&a^{15}sin(ax) + \frac{2856658246041600x^{15}}{(-x^{2} + 1)^{15}} + \frac{10712468422656000x^{13}}{(-x^{2} + 1)^{14}} + \frac{16068702633984000x^{11}}{(-x^{2} + 1)^{13}} + \frac{12274703400960000x^{9}}{(-x^{2} + 1)^{12}} + \frac{5021469573120000x^{7}}{(-x^{2} + 1)^{11}} + \frac{1054508610355200x^{5}}{(-x^{2} + 1)^{10}} + \frac{97639686144000x^{3}}{(-x^{2} + 1)^{9}} + \frac{2615348736000x}{(-x^{2} + 1)^{8}}\\ \end{split}\end{equation} \]

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