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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + 1)}^{10}{\frac{1}{(2x - 4)}}^{8}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{(x + 1)^{10}}{(2x - 4)^{8}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{(x + 1)^{10}}{(2x - 4)^{8}}\right)}{dx}\\=&\frac{(10(x + 1)^{9}(1 + 0))}{(2x - 4)^{8}} + (x + 1)^{10}(\frac{-8(2 + 0)}{(2x - 4)^{9}})\\=&\frac{10(x + 1)^{9}}{(2x - 4)^{8}} - \frac{16(x + 1)^{10}}{(2x - 4)^{9}}\\ \end{split}\end{equation} \]





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