There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ch(\frac{1}{2})x + lg(x)e^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xch(\frac{1}{2}) + e^{3}lg(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xch(\frac{1}{2}) + e^{3}lg(x)\right)}{dx}\\=&ch(\frac{1}{2}) + xsh(\frac{1}{2})*0 + e^{3}*0lg(x) + \frac{e^{3}}{ln{10}(x)}\\=&ch(\frac{1}{2}) + \frac{e^{3}}{xln{10}}\\ \end{split}\end{equation} \]

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