`f(x) = root(5)(x)` Use the rules of differentiation to find the derivative of the function.

Expert Answers
kalau eNotes educator| Certified Educator

Rewrite the function:

`y=x^(1/5)`

Use the power rule.

`y'=1/5 x^(1/5-1) = 1/5 x^ (-4/5) ` 

The answer is:  `y=1/(5x^(4/5))`