There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{x{(3 - {x}^{2})}^{1}}{2*2} + \frac{3arcsin(x){\frac{1}{(3)}}^{1}}{2*2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-1}{4}x^{3} + \frac{3}{4}x + \frac{1}{4}arcsin(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-1}{4}x^{3} + \frac{3}{4}x + \frac{1}{4}arcsin(x)\right)}{dx}\\=&\frac{-1}{4}*3x^{2} + \frac{3}{4} + \frac{1}{4}(\frac{(1)}{((1 - (x)^{2})^{\frac{1}{2}})})\\=&\frac{-3x^{2}}{4} + \frac{1}{4(-x^{2} + 1)^{\frac{1}{2}}} + \frac{3}{4}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !