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





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