There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{x}^{2}{(5x + 2)}^{1}}{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{5}{2}x^{3} + x^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{5}{2}x^{3} + x^{2}\right)}{dx}\\=&\frac{5}{2}*3x^{2} + 2x\\=&\frac{15x^{2}}{2} + 2x\\ \end{split}\end{equation} \]

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