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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 1 - ln(x){\frac{1}{x}}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - \frac{ln(x)}{x^{2}} + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - \frac{ln(x)}{x^{2}} + 1\right)}{dx}\\=& - \frac{-2ln(x)}{x^{3}} - \frac{1}{x^{2}(x)} + 0\\=&\frac{2ln(x)}{x^{3}} - \frac{1}{x^{3}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{2ln(x)}{x^{3}} - \frac{1}{x^{3}}\right)}{dx}\\=&\frac{2*-3ln(x)}{x^{4}} + \frac{2}{x^{3}(x)} - \frac{-3}{x^{4}}\\=& - \frac{6ln(x)}{x^{4}} + \frac{5}{x^{4}}\\ \end{split}\end{equation} \]





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