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

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