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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (2x + 1)ln(2x + 1)ln(2x + 1) - 2{x}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2xln^{2}(2x + 1) + ln^{2}(2x + 1) - 2x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2xln^{2}(2x + 1) + ln^{2}(2x + 1) - 2x^{2}\right)}{dx}\\=&2ln^{2}(2x + 1) + \frac{2x*2ln(2x + 1)(2 + 0)}{(2x + 1)} + \frac{2ln(2x + 1)(2 + 0)}{(2x + 1)} - 2*2x\\=&2ln^{2}(2x + 1) + \frac{8xln(2x + 1)}{(2x + 1)} + \frac{4ln(2x + 1)}{(2x + 1)} - 4x\\ \end{split}\end{equation} \]





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