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

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