There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln({(2t + 1)}^{9}{\frac{1}{(3t - 1)}}^{4})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(\frac{(2t + 1)^{9}}{(3t - 1)^{4}})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(\frac{(2t + 1)^{9}}{(3t - 1)^{4}})\right)}{dx}\\=&\frac{(\frac{(9(2t + 1)^{8}(0 + 0))}{(3t - 1)^{4}} + (2t + 1)^{9}(\frac{-4(0 + 0)}{(3t - 1)^{5}}))}{(\frac{(2t + 1)^{9}}{(3t - 1)^{4}})}\\=&0\\ \end{split}\end{equation} \]

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