There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (6sin(x) + 5cos(x))arctan(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 6sin(x)arctan(x) + 5cos(x)arctan(x)\right)}{dx}\\=&6cos(x)arctan(x) + 6sin(x)(\frac{(1)}{(1 + (x)^{2})}) + 5*-sin(x)arctan(x) + 5cos(x)(\frac{(1)}{(1 + (x)^{2})})\\=&6cos(x)arctan(x) + \frac{6sin(x)}{(x^{2} + 1)} - 5sin(x)arctan(x) + \frac{5cos(x)}{(x^{2} + 1)}\\ \end{split}\end{equation} \]

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