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

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