There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(12x + {e}^{(4x)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(12x + {e}^{(4x)})\right)}{dx}\\=&\frac{(12 + ({e}^{(4x)}((4)ln(e) + \frac{(4x)(0)}{(e)})))}{(12x + {e}^{(4x)})}\\=&\frac{4{e}^{(4x)}}{(12x + {e}^{(4x)})} + \frac{12}{(12x + {e}^{(4x)})}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！