There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ 5xx + xsin(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xsin(x) + 5x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xsin(x) + 5x^{2}\right)}{dx}\\=&sin(x) + xcos(x) + 5*2x\\=&sin(x) + xcos(x) + 10x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( sin(x) + xcos(x) + 10x\right)}{dx}\\=&cos(x) + cos(x) + x*-sin(x) + 10\\=&2cos(x) - xsin(x) + 10\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2cos(x) - xsin(x) + 10\right)}{dx}\\=&2*-sin(x) - sin(x) - xcos(x) + 0\\=& - 3sin(x) - xcos(x)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !