Question

Найдите f'(x) если:
f(x)=5$\sqrt[5]{ x^{2}}$

Answer 1

$f`(x)=(5\cdot \sqrt[5]{x^2})`=5(x^{ \frac{2}{5}} )`=5\cdot \frac{2}{5}\cdot x ^{ \frac{2}{5}-1} =2\cdot x^{- \frac{3}{5}} = \frac{2}{ \sqrt[5]{x^3} }$