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

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