There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-3}{2}cos(2x + 1) + 8ln(2x + 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{-3}{2}cos(2x + 1) + 8ln(2x + 1)\right)}{dx}\\=&\frac{-3}{2}*-sin(2x + 1)(2 + 0) + \frac{8(2 + 0)}{(2x + 1)}\\=&3sin(2x + 1) + \frac{16}{(2x + 1)}\\ \end{split}\end{equation} \]

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