There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt((2x - a){(a - x)}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})\right)}{dx}\\=&\frac{(4a^{2} - 5a*2x + 2*3x^{2} + 0)*\frac{1}{2}}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{2}}}\\=& - \frac{5ax}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{2}}} + \frac{2a^{2}}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{2}}} + \frac{3x^{2}}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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