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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{(ln(x) + 1)x}{e}) - (\frac{(1 - ln(x))x}{e})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2xln(x)}{e}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{2xln(x)}{e}\right)}{dx}\\=&\frac{2ln(x)}{e} + \frac{2x*-0ln(x)}{e^{2}} + \frac{2x}{e(x)}\\=&\frac{2ln(x)}{e} + \frac{2}{e}\\ \end{split}\end{equation} \]





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