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

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