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

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