There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{({x}^{(\frac{2}{3})})}{(1 + {x}^{2})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{\frac{2}{3}}}{(x^{2} + 1)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{x^{\frac{2}{3}}}{(x^{2} + 1)}\right)}{dx}\\=&(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{\frac{2}{3}} + \frac{\frac{2}{3}}{(x^{2} + 1)x^{\frac{1}{3}}}\\=&\frac{-2x^{\frac{5}{3}}}{(x^{2} + 1)^{2}} + \frac{2}{3(x^{2} + 1)x^{\frac{1}{3}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !