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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 10400x(1 + \frac{1}{({(x + 1)}^{240} - 1)}) - 68\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 10400x + \frac{10400x}{((x + 1)^{240} - 1)} - 68\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 10400x + \frac{10400x}{((x + 1)^{240} - 1)} - 68\right)}{dx}\\=&10400 + 10400(\frac{-((240(x + 1)^{239}(1 + 0)) + 0)}{((x + 1)^{240} - 1)^{2}})x + \frac{10400}{((x + 1)^{240} - 1)} + 0\\=& - \frac{2496000(x + 1)^{239}x}{((x + 1)^{240} - 1)^{2}} + \frac{10400}{((x + 1)^{240} - 1)} + 10400\\ \end{split}\end{equation} \]





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