There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ sin(\frac{πx}{6})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(\frac{1}{6}πx)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(\frac{1}{6}πx)\right)}{dx}\\=&cos(\frac{1}{6}πx)*\frac{1}{6}π\\=&\frac{πcos(\frac{1}{6}πx)}{6}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{πcos(\frac{1}{6}πx)}{6}\right)}{dx}\\=&\frac{π*-sin(\frac{1}{6}πx)*\frac{1}{6}π}{6}\\=&\frac{-π^{2}sin(\frac{1}{6}πx)}{36}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !