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

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