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

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