There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ e^{sqrt(5){\frac{1}{10}}^{x}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{{\frac{1}{10}}^{x}sqrt(5)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( e^{{\frac{1}{10}}^{x}sqrt(5)}\right)}{dx}\\=&e^{{\frac{1}{10}}^{x}sqrt(5)}(({\frac{1}{10}}^{x}((1)ln(\frac{1}{10}) + \frac{(x)(0)}{(\frac{1}{10})}))sqrt(5) + {\frac{1}{10}}^{x}*0*\frac{1}{2}*5^{\frac{1}{2}})\\=&{\frac{1}{10}}^{x}e^{{\frac{1}{10}}^{x}sqrt(5)}ln(\frac{1}{10})sqrt(5)\\ \end{split}\end{equation} \]

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