There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ arcsin(sqrt(\frac{4(3 + x - {x}^{2})}{13}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = arcsin(sqrt(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13}))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( arcsin(sqrt(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13}))\right)}{dx}\\=&(\frac{(\frac{(\frac{4}{13} - \frac{4}{13}*2x + 0)*\frac{1}{2}}{(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13})^{\frac{1}{2}}})}{((1 - (sqrt(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13}))^{2})^{\frac{1}{2}})})\\=&\frac{-4x}{13(-sqrt(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13})^{2} + 1)^{\frac{1}{2}}(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13})^{\frac{1}{2}}} + \frac{2}{13(-sqrt(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13})^{2} + 1)^{\frac{1}{2}}(\frac{4}{13}x - \frac{4}{13}x^{2} + \frac{12}{13})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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