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

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