There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(20.623{x}^{2} - 1.7777)}^{0.5} - 12.192 + 29.3884x - 21.7322{x}^{2}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (20.623x - 1.7777)^{\frac{1}{2}} + 29.3884x - 21.7322x^{2} - 12.192\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (20.623x - 1.7777)^{\frac{1}{2}} + 29.3884x - 21.7322x^{2} - 12.192\right)}{dx}\\=&(\frac{0.5(20.623 + 0)}{(20.623x - 1.7777)^{\frac{1}{2}}}) + 29.3884 - 21.7322*2x + 0\\=&\frac{10.3115}{(20.623x - 1.7777)^{\frac{1}{2}}} - 43.4644x + 29.3884\\ \end{split}\end{equation} \]

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