There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ xlg(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xlg(x)\right)}{dx}\\=&lg(x) + \frac{x}{ln{10}(x)}\\=&lg(x) + \frac{1}{ln{10}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( lg(x) + \frac{1}{ln{10}}\right)}{dx}\\=&\frac{1}{ln{10}(x)} + \frac{-0}{ln^{2}{10}}\\=&\frac{1}{xln{10}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !