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

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