Questiongnment and show complete solution (Solve 1 item p $$y=3 x^{3}-2 x^{-3}+\frac{1}{\sqrt{x}}-\sqrt{x}+\frac{5}{x^{5}}-\sqrt[3]{x^{2}}$$

Studdy Solution
Combine the results to form the final derivative: $$y' = 9x^2 + 6x^{-4} - \frac{1}{2}x^{-\frac{3}{2}} - \frac{1}{2}x^{-\frac{1}{2}} - 25x^{-6} - \frac{2}{3}x^{-\frac{1}{3}}$$
Solution: The derivative of the given function is: $$y' = 9x^2 + 6x^{-4} - \frac{1}{2}x^{-\frac{3}{2}} - \frac{1}{2}x^{-\frac{1}{2}} - 25x^{-6} - \frac{2}{3}x^{-\frac{1}{3}}$$