There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(({tan(x)}^{2}) + 1)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (tan^{2}(x) + 1)^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (tan^{2}(x) + 1)^{\frac{1}{2}}\right)}{dx}\\=&(\frac{\frac{1}{2}(2tan(x)sec^{2}(x)(1) + 0)}{(tan^{2}(x) + 1)^{\frac{1}{2}}})\\=&\frac{tan(x)sec^{2}(x)}{(tan^{2}(x) + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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