There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {(\frac{{d}^{2}{x}^{2}}{d} - 2{\frac{1}{x}}^{2})}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = d^{2}x^{4} - 4d + \frac{4}{x^{4}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( d^{2}x^{4} - 4d + \frac{4}{x^{4}}\right)}{dx}\\=&d^{2}*4x^{3} + 0 + \frac{4*-4}{x^{5}}\\=&4d^{2}x^{3} - \frac{16}{x^{5}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4d^{2}x^{3} - \frac{16}{x^{5}}\right)}{dx}\\=&4d^{2}*3x^{2} - \frac{16*-5}{x^{6}}\\=&12d^{2}x^{2} + \frac{80}{x^{6}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12d^{2}x^{2} + \frac{80}{x^{6}}\right)}{dx}\\=&12d^{2}*2x + \frac{80*-6}{x^{7}}\\=&24d^{2}x - \frac{480}{x^{7}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 24d^{2}x - \frac{480}{x^{7}}\right)}{dx}\\=&24d^{2} - \frac{480*-7}{x^{8}}\\=&24d^{2} + \frac{3360}{x^{8}}\\ \end{split}\end{equation} \]

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