There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ sin(\frac{2}{x})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(\frac{2}{x})\right)}{dx}\\=&\frac{cos(\frac{2}{x})*2*-1}{x^{2}}\\=&\frac{-2cos(\frac{2}{x})}{x^{2}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-2cos(\frac{2}{x})}{x^{2}}\right)}{dx}\\=&\frac{-2*-2cos(\frac{2}{x})}{x^{3}} - \frac{2*-sin(\frac{2}{x})*2*-1}{x^{2}x^{2}}\\=&\frac{4cos(\frac{2}{x})}{x^{3}} - \frac{4sin(\frac{2}{x})}{x^{4}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !