There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -2x{\frac{1}{(x - 1)}}^{4}(x + 1){\frac{1}{(x - 1)}}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-2x^{2}}{(x - 1)^{8}} - \frac{2x}{(x - 1)^{8}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-2x^{2}}{(x - 1)^{8}} - \frac{2x}{(x - 1)^{8}}\right)}{dx}\\=&-2(\frac{-8(1 + 0)}{(x - 1)^{9}})x^{2} - \frac{2*2x}{(x - 1)^{8}} - 2(\frac{-8(1 + 0)}{(x - 1)^{9}})x - \frac{2}{(x - 1)^{8}}\\=&\frac{16x^{2}}{(x - 1)^{9}} - \frac{4x}{(x - 1)^{8}} + \frac{16x}{(x - 1)^{9}} - \frac{2}{(x - 1)^{8}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !