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derivative of ((t^7+1)/(t^7-1))^(1/9)
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applying power rule get [(1/9)*(original fraction)^(-8/9)]*(quotient rule on original fraction) ~~mehh ugly, yuck.
\[\frac{14 t^6 \left(\frac{1+t^7}{-1+t^7}\right)^{1/9}}{9-9 t^{14}} \]
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