There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ ln(1 - x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(-x + 1)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( ln(-x + 1)\right)}{dx}\\=&\frac{(-1 + 0)}{(-x + 1)}\\=&\frac{-1}{(-x + 1)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-1}{(-x + 1)}\right)}{dx}\\=&-(\frac{-(-1 + 0)}{(-x + 1)^{2}})\\=&\frac{-1}{(-x + 1)^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-1}{(-x + 1)^{2}}\right)}{dx}\\=&-(\frac{-2(-1 + 0)}{(-x + 1)^{3}})\\=&\frac{-2}{(-x + 1)^{3}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !