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

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