Question

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Answer 1

$y=\frac{5}{3}\cdot \sqrt[5]{x^3}+\frac{5}{8}\cdot x\sqrt[5]{x^3}=\frac{5}{3}\cdot x^{\frac{3}{5}}+\frac{5}{8}\cdot x^{\frac{8}{5}}\\\\ y'=\frac{5}{3}\cdot \frac{3}{5}\cdot x^{-\frac{2}{5}}+\frac{5}{8}\cdot \frac{8}{5}\cdot x^{\frac{3}{5}}=x^{-\frac{2}{5}}+x^{\frac{3}{5}}=\frac{1}{\sqrt[5]{x^3}}+\sqrt[5]{x^3}$