There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 33 - \frac{12}{(x + 1)} - x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - \frac{12}{(x + 1)} - x + 33\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - \frac{12}{(x + 1)} - x + 33\right)}{dx}\\=& - 12(\frac{-(1 + 0)}{(x + 1)^{2}}) - 1 + 0\\=&\frac{12}{(x + 1)^{2}} - 1\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !