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

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