There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(x)sqrt(x*3)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(x)sqrt(3x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(x)sqrt(3x)\right)}{dx}\\=&\frac{sqrt(3x)}{(x)} + \frac{ln(x)*3*\frac{1}{2}}{(3x)^{\frac{1}{2}}}\\=&\frac{sqrt(3x)}{x} + \frac{3ln(x)}{2*3^{\frac{1}{2}}x^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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