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

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