There are 1 questions in this calculation: for each question, the 5 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 5th\ derivative\ of\ function\ \frac{cos(x)}{2} + {x}^{2}{sin(x)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}cos(x) + x^{2}sin^{5}(x)\\\\ &\color{blue}{The\ 5th\ derivative\ of\ function:} \\=&1200sin^{2}(x)cos^{3}(x) - 1300sin^{4}(x)cos(x) + 1200xsin(x)cos^{4}(x) - 4400xsin^{3}(x)cos^{2}(x) + 1205x^{2}sin^{4}(x)cos(x) - 1800x^{2}sin^{2}(x)cos^{3}(x) + 120x^{2}cos^{5}(x) + 650xsin^{5}(x) - \frac{sin(x)}{2}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！