There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{7ln(x + 1)}{24} + (x + \frac{1}{6})ln(x) - x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{7}{24}ln(x + 1) + xln(x) + \frac{1}{6}ln(x) - x\right)}{dx}\\=&\frac{\frac{7}{24}(1 + 0)}{(x + 1)} + ln(x) + \frac{x}{(x)} + \frac{\frac{1}{6}}{(x)} - 1\\=&\frac{7}{24(x + 1)} + ln(x) + \frac{1}{6x}\\ \end{split}\end{equation} \]

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