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

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