There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ log_{5}^{{x}^{2}}{\frac{1}{(x + 1)}}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{log_{5}^{x^{2}}}{(x + 1)^{3}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{log_{5}^{x^{2}}}{(x + 1)^{3}}\right)}{dx}\\=&(\frac{-3(1 + 0)}{(x + 1)^{4}})log_{5}^{x^{2}} + \frac{(\frac{(\frac{(2x)}{(x^{2})} - \frac{(0)log_{5}^{x^{2}}}{(5)})}{(ln(5))})}{(x + 1)^{3}}\\=&\frac{-3log_{5}^{x^{2}}}{(x + 1)^{4}} + \frac{2}{(x + 1)^{3}xln(5)}\\ \end{split}\end{equation} \]

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