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

Your problem has not been solved here? Please take a look at the  hot problems ！