There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(5xsqrt(x + 8))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(5xsqrt(x + 8))\right)}{dx}\\=&\frac{(5sqrt(x + 8) + \frac{5x(1 + 0)*\frac{1}{2}}{(x + 8)^{\frac{1}{2}}})}{(5xsqrt(x + 8))}\\=&\frac{1}{x} + \frac{1}{2(x + 8)^{\frac{1}{2}}sqrt(x + 8)}\\ \end{split}\end{equation} \]

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