There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 6{(576x + 1)}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 6(576x + 1)^{\frac{1}{2}}\right)}{dx}\\=&6((576x + 1)^{\frac{1}{2}}((0)ln(576x + 1) + \frac{(\frac{1}{2})(576 + 0)}{(576x + 1)}))\\=&\frac{1728(576x + 1)^{\frac{1}{2}}}{(576x + 1)}\\ \end{split}\end{equation} \]

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