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