There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt({R}^{2} + {a}^{2} + {b}^{2} - 2aRcos(x) - 2bRsin(x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(-2Racos(x) + a^{2} + b^{2} - 2Rbsin(x) + R^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(-2Racos(x) + a^{2} + b^{2} - 2Rbsin(x) + R^{2})\right)}{dx}\\=&\frac{(-2Ra*-sin(x) + 0 + 0 - 2Rbcos(x) + 0)*\frac{1}{2}}{(-2Racos(x) + a^{2} + b^{2} - 2Rbsin(x) + R^{2})^{\frac{1}{2}}}\\=&\frac{Rasin(x)}{(-2Racos(x) + a^{2} + b^{2} - 2Rbsin(x) + R^{2})^{\frac{1}{2}}} - \frac{Rbcos(x)}{(-2Racos(x) + a^{2} + b^{2} - 2Rbsin(x) + R^{2})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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