Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ xln(x) + \frac{{x}^{2}}{2} - x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xln(x) + \frac{1}{2}x^{2} - x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xln(x) + \frac{1}{2}x^{2} - x\right)}{dx}\\=&ln(x) + \frac{x}{(x)} + \frac{1}{2}*2x - 1\\=&ln(x) + x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( ln(x) + x\right)}{dx}\\=&\frac{1}{(x)} + 1\\=&\frac{1}{x} + 1\\ \end{split}\end{equation} \]





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