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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{2x}{(x - 4)} + 2x(x - 7)(x - 7) - 4x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2x}{(x - 4)} + 2x^{3} - 28x^{2} + 94x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{2x}{(x - 4)} + 2x^{3} - 28x^{2} + 94x\right)}{dx}\\=&2(\frac{-(1 + 0)}{(x - 4)^{2}})x + \frac{2}{(x - 4)} + 2*3x^{2} - 28*2x + 94\\=&\frac{-2x}{(x - 4)^{2}} + \frac{2}{(x - 4)} + 6x^{2} - 56x + 94\\ \end{split}\end{equation} \]





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