There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(16x - 39)}^{\frac{1}{2}} + x - 4\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (16x - 39)^{\frac{1}{2}} + x - 4\right)}{dx}\\=&((16x - 39)^{\frac{1}{2}}((0)ln(16x - 39) + \frac{(\frac{1}{2})(16 + 0)}{(16x - 39)})) + 1 + 0\\=&\frac{8(16x - 39)^{\frac{1}{2}}}{(16x - 39)} + 1\\ \end{split}\end{equation} \]

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