(u^(5))`=5u^4*u`
Решение:
[m] f`(x)=5\cdot (\frac{2}{x^{3}}+x^{3})^{4} \cdot (\frac{2}{x^3}+x^3)`=5\cdot (\frac{2}{x^{3}}+x^3)^{4} \cdot (2x^{-3}+x^3)`=5\cdot (\frac{2}{x^3}+x^3)^{4} \cdot (-6x^{-4}+3x^2)=[/m]
[m]=5\cdot (\frac{2}{x^3}+x^3)^{4}\cdot (-\frac{6}{x^{4}}+3x^2) [/m]