There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x - 3arctan(\frac{x}{sqrt(3)})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x - 3arctan(\frac{x}{sqrt(3)})\right)}{dx}\\=&1 - 3(\frac{(\frac{1}{sqrt(3)} + \frac{x*-0*\frac{1}{2}*3^{\frac{1}{2}}}{(3)})}{(1 + (\frac{x}{sqrt(3)})^{2})})\\=& - \frac{3}{(\frac{x^{2}}{sqrt(3)^{2}} + 1)sqrt(3)} + 1\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !