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

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