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

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