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