There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{1}{2}{(1 - x)}^{(\frac{-2}{3})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{\frac{1}{2}}{(-x + 1)^{\frac{2}{3}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{\frac{1}{2}}{(-x + 1)^{\frac{2}{3}}}\right)}{dx}\\=&\frac{1}{2}(\frac{\frac{-2}{3}(-1 + 0)}{(-x + 1)^{\frac{5}{3}}})\\=&\frac{1}{3(-x + 1)^{\frac{5}{3}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{1}{3(-x + 1)^{\frac{5}{3}}}\right)}{dx}\\=&\frac{(\frac{\frac{-5}{3}(-1 + 0)}{(-x + 1)^{\frac{8}{3}}})}{3}\\=&\frac{5}{9(-x + 1)^{\frac{8}{3}}}\\ \end{split}\end{equation} \]

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