There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(4{e}^{3}x)}{sin(-3x)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4xe^{3}}{sin(-3x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{4xe^{3}}{sin(-3x)}\right)}{dx}\\=&\frac{4e^{3}}{sin(-3x)} + \frac{4x*3e^{2}*0}{sin(-3x)} + \frac{4xe^{3}*-cos(-3x)*-3}{sin^{2}(-3x)}\\=&\frac{4e^{3}}{sin(-3x)} + \frac{12xe^{3}cos(-3x)}{sin^{2}(-3x)}\\ \end{split}\end{equation} \]

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