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

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