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

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