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