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derivate: y=cube square of t(t^2+t+t^-1)
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\[\sqrt[3]{t}\left( t^{2} +t+t ^{-1}\right)\]
This is done by product rule. $$y' = t^{1/3}(2t + 1 - t^{-2}) + \frac{1}{3}t^{-2/3}(t^2 + t + t^{-1})$$
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