Question

Найдите производную функции:
у=⁵√х⁴

Answer 1

$y = {x}^{ \frac{4}{5} } \\ {y}^{.} = \frac{4}{5} \ {x}^{ \frac{4}{5} - 1 } \\ {y}^{.} = \frac{4}{5} {x}^{ - \frac{1}{5} } \\ {y}^{.} = \frac{4}{5} \frac{1}{ {x}^{ \frac{1}{5} } } = \frac{4}{5 {x}^{ \frac{1}{5} } }$