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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{82.645*21.19}{(xx + 42.38x + 21.19*21.19)}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1751.24755}{(x^{2} + 42.38x + 449.0161)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1751.24755}{(x^{2} + 42.38x + 449.0161)}\right)}{dx}\\=&1751.24755(\frac{-(2x + 42.38 + 0)}{(x^{2} + 42.38x + 449.0161)^{2}})\\=&\frac{-3502.4951x}{(x^{2} + 42.38x + 449.0161)(x^{2} + 42.38x + 449.0161)} - \frac{74217.871169}{(x^{2} + 42.38x + 449.0161)(x^{2} + 42.38x + 449.0161)}\\ \end{split}\end{equation} \]





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