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

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