There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(log_{2}^{{e}^{(2x + 3)}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(log_{2}^{{e}^{(2x + 3)}})\right)}{dx}\\=&cos(log_{2}^{{e}^{(2x + 3)}})(\frac{(\frac{(({e}^{(2x + 3)}((2 + 0)ln(e) + \frac{(2x + 3)(0)}{(e)})))}{({e}^{(2x + 3)})} - \frac{(0)log_{2}^{{e}^{(2x + 3)}}}{(2)})}{(ln(2))})\\=&\frac{2{e}^{(4x + 6)}cos(log_{2}^{{e}^{(2x + 3)}})}{ln(2)}\\ \end{split}\end{equation} \]

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