There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 0.7977x + 0.08686 - 3{(171.1x + 0.7682)}^{0.5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.7977x - 3(171.1x + 0.7682)^{\frac{1}{2}} + 0.08686\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 0.7977x - 3(171.1x + 0.7682)^{\frac{1}{2}} + 0.08686\right)}{dx}\\=&0.7977 - 3(\frac{0.5(171.1 + 0)}{(171.1x + 0.7682)^{\frac{1}{2}}}) + 0\\=& - \frac{256.65}{(171.1x + 0.7682)^{\frac{1}{2}}} + 0.7977\\ \end{split}\end{equation} \]

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