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

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