There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x - 1.77x(26.1{\frac{1}{(282.24 + {x}^{2})}}^{0.5} - 1)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x - \frac{46.197x}{(x + 282.24)^{\frac{1}{2}}} + 1.77x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x - \frac{46.197x}{(x + 282.24)^{\frac{1}{2}}} + 1.77x\right)}{dx}\\=&1 - 46.197(\frac{-0.5(1 + 0)}{(x + 282.24)^{\frac{3}{2}}})x - \frac{46.197}{(x + 282.24)^{\frac{1}{2}}} + 1.77\\=& - \frac{-23.0985x}{(x + 282.24)^{\frac{3}{2}}} - \frac{46.197}{(x + 282.24)^{\frac{1}{2}}} + 2.77\\ \end{split}\end{equation} \]

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