There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2{({x}^{2} + 25)}^{\frac{1}{2}} + {({x}^{2} - 20x + 125)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2(x^{2} + 25)^{\frac{1}{2}} + (x^{2} - 20x + 125)^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2(x^{2} + 25)^{\frac{1}{2}} + (x^{2} - 20x + 125)^{\frac{1}{2}}\right)}{dx}\\=&2(\frac{\frac{1}{2}(2x + 0)}{(x^{2} + 25)^{\frac{1}{2}}}) + (\frac{\frac{1}{2}(2x - 20 + 0)}{(x^{2} - 20x + 125)^{\frac{1}{2}}})\\=&\frac{2x}{(x^{2} + 25)^{\frac{1}{2}}} + \frac{x}{(x^{2} - 20x + 125)^{\frac{1}{2}}} - \frac{10}{(x^{2} - 20x + 125)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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