There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5(1 + 5x){\frac{1}{2}}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5 * {\frac{1}{2}}^{\frac{1}{2}} + 25x{\frac{1}{2}}^{\frac{1}{2}}\right)}{dx}\\=&5({\frac{1}{2}}^{\frac{1}{2}}((0)ln(\frac{1}{2}) + \frac{(\frac{1}{2})(0)}{(\frac{1}{2})})) + 25 * {\frac{1}{2}}^{\frac{1}{2}} + 25x({\frac{1}{2}}^{\frac{1}{2}}((0)ln(\frac{1}{2}) + \frac{(\frac{1}{2})(0)}{(\frac{1}{2})}))\\=&\frac{25^{\frac{1}{2}}}{2^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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