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

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