There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(-{x}^{2} + 10x) - sqrt(-{x}^{2} + 12x - 20)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(-x^{2} + 10x) - sqrt(-x^{2} + 12x - 20)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(-x^{2} + 10x) - sqrt(-x^{2} + 12x - 20)\right)}{dx}\\=&\frac{(-2x + 10)*\frac{1}{2}}{(-x^{2} + 10x)^{\frac{1}{2}}} - \frac{(-2x + 12 + 0)*\frac{1}{2}}{(-x^{2} + 12x - 20)^{\frac{1}{2}}}\\=&\frac{-x}{(-x^{2} + 10x)^{\frac{1}{2}}} + \frac{x}{(-x^{2} + 12x - 20)^{\frac{1}{2}}} + \frac{5}{(-x^{2} + 10x)^{\frac{1}{2}}} - \frac{6}{(-x^{2} + 12x - 20)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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