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

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