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

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