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

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