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