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

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