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

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