There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -30.61665{x}^{0.5} + 173.3445{x}^{2} + 384.6975\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -30.61665x^{\frac{1}{2}} + 173.3445x^{2} + 384.6975\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -30.61665x^{\frac{1}{2}} + 173.3445x^{2} + 384.6975\right)}{dx}\\=&\frac{-30.61665*0.5}{x^{\frac{1}{2}}} + 173.3445*2x + 0\\=&\frac{-15.308325}{x^{\frac{1}{2}}} + 346.689x\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！