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

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