There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{((x + 1)(x + 2))(1 + {x}^{2})}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{3} + 3x + 3x^{2} + \frac{2}{x} + 3\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{3} + 3x + 3x^{2} + \frac{2}{x} + 3\right)}{dx}\\=&3x^{2} + 3 + 3*2x + \frac{2*-1}{x^{2}} + 0\\=&3x^{2} + 6x - \frac{2}{x^{2}} + 3\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！