There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ \frac{(4{x}^{2} - 1)}{({x}^{2} - 1)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4x^{2}}{(x^{2} - 1)} - \frac{1}{(x^{2} - 1)}\\\\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&\frac{-171399494762496000x^{17}}{(x^{2} - 1)^{16}} + \frac{771297726431232000x^{15}}{(x^{2} - 1)^{15}} - \frac{1435470768635904000x^{13}}{(x^{2} - 1)^{14}} + \frac{1424758300213248000x^{11}}{(x^{2} - 1)^{13}} - \frac{810130424463360000x^{9}}{(x^{2} - 1)^{12}} + \frac{263125005631488000x^{7}}{(x^{2} - 1)^{11}} - \frac{45695373115392000x^{5}}{(x^{2} - 1)^{10}} + \frac{3598719860736000x^{3}}{(x^{2} - 1)^{9}} - \frac{83691159552000x}{(x^{2} - 1)^{8}} + \frac{208893134241792000x^{11}}{(x^{2} - 1)^{14}} - \frac{147296440811520000x^{9}}{(x^{2} - 1)^{13}} + \frac{55236165304320000x^{7}}{(x^{2} - 1)^{12}} - \frac{10545086103552000x^{5}}{(x^{2} - 1)^{11}} + \frac{878757175296000x^{3}}{(x^{2} - 1)^{10}} - \frac{20922789888000x}{(x^{2} - 1)^{9}} + \frac{42849873690624000x^{15}}{(x^{2} - 1)^{16}} - \frac{149974557917184000x^{13}}{(x^{2} - 1)^{15}}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！