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 n is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({2}^{\frac{1}{n}} - 1)n\ with\ respect\ to\ n:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = n{2}^{\frac{1}{n}} - n\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( n{2}^{\frac{1}{n}} - n\right)}{dn}\\=&{2}^{\frac{1}{n}} + n({2}^{\frac{1}{n}}((\frac{-1}{n^{2}})ln(2) + \frac{(\frac{1}{n})(0)}{(2)})) - 1\\=&{2}^{\frac{1}{n}} - \frac{{2}^{\frac{1}{n}}ln(2)}{n} - 1\\ \end{split}\end{equation} \]





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