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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ log_{\frac{x}{3}}^{ - \frac{1}{3}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = log_{\frac{1}{3}x}^{ - \frac{1}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( log_{\frac{1}{3}x}^{ - \frac{1}{3}}\right)}{dx}\\=&(\frac{(\frac{(0)}{(\frac{1}{3})} - \frac{(\frac{1}{3})log_{\frac{1}{3}x}^{ - \frac{1}{3}}}{(\frac{1}{3}x)})}{(ln(\frac{1}{3}x))})\\=&\frac{-log_{\frac{1}{3}x}^{ - \frac{1}{3}}}{xln(\frac{1}{3}x)}\\ \end{split}\end{equation} \]





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