There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ X - aln(x) + \frac{(1 + a)}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( X - aln(x) + \frac{1}{x} + \frac{a}{x}\right)}{dx}\\=&0 - \frac{a}{(x)} + \frac{-1}{x^{2}} + \frac{a*-1}{x^{2}}\\=& - \frac{a}{x} - \frac{1}{x^{2}} - \frac{a}{x^{2}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - \frac{a}{x} - \frac{1}{x^{2}} - \frac{a}{x^{2}}\right)}{dx}\\=& - \frac{a*-1}{x^{2}} - \frac{-2}{x^{3}} - \frac{a*-2}{x^{3}}\\=&\frac{a}{x^{2}} + \frac{2}{x^{3}} + \frac{2a}{x^{3}}\\ \end{split}\end{equation} \]

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