Question

How do you find the derivative of `x^(2/5)`?

Answer 1

The power rule states that for `y=a^n`, `y'=n*a^(n-1)`

`y'=x^(2/5-1)=x^(-3/5)`

Also, one exponential law says that `a^(m/n)=root(n)(a^m)`. Thus,

`y'=1/root(5)(x^3)`