There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4{x}^{2} + {e}^{x}ln(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 4x^{2} + {e}^{x}ln(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 4x^{2} + {e}^{x}ln(x)\right)}{dx}\\=&4*2x + ({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))ln(x) + \frac{{e}^{x}}{(x)}\\=&\frac{{e}^{x}}{x} + {e}^{x}ln(x) + 8x\\ \end{split}\end{equation} \]

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