There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 17920sin(2x) + 5120xcos(2x) + 5120cos(2x) - 2048xsin(2x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 17920sin(2x) + 5120xcos(2x) + 5120cos(2x) - 2048xsin(2x)\right)}{dx}\\=&17920cos(2x)*2 + 5120cos(2x) + 5120x*-sin(2x)*2 + 5120*-sin(2x)*2 - 2048sin(2x) - 2048xcos(2x)*2\\=&40960cos(2x) - 10240xsin(2x) - 12288sin(2x) - 4096xcos(2x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 40960cos(2x) - 10240xsin(2x) - 12288sin(2x) - 4096xcos(2x)\right)}{dx}\\=&40960*-sin(2x)*2 - 10240sin(2x) - 10240xcos(2x)*2 - 12288cos(2x)*2 - 4096cos(2x) - 4096x*-sin(2x)*2\\=&-92160sin(2x) - 20480xcos(2x) - 28672cos(2x) + 8192xsin(2x)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !