There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 2sin(\frac{1}{5}x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sin(\frac{1}{5}x)\right)}{dx}\\=&2cos(\frac{1}{5}x)*\frac{1}{5}\\=&\frac{2cos(\frac{1}{5}x)}{5}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{2cos(\frac{1}{5}x)}{5}\right)}{dx}\\=&\frac{2*-sin(\frac{1}{5}x)*\frac{1}{5}}{5}\\=&\frac{-2sin(\frac{1}{5}x)}{25}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !