There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -2arctan(sqrt(\frac{x}{4} - 1))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -2arctan(sqrt(\frac{1}{4}x - 1))\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -2arctan(sqrt(\frac{1}{4}x - 1))\right)}{dx}\\=&-2(\frac{(\frac{(\frac{1}{4} + 0)*\frac{1}{2}}{(\frac{1}{4}x - 1)^{\frac{1}{2}}})}{(1 + (sqrt(\frac{1}{4}x - 1))^{2})})\\=&\frac{-1}{4(\frac{1}{4}x - 1)^{\frac{1}{2}}(sqrt(\frac{1}{4}x - 1)^{2} + 1)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !