Question

If `F(x) = x^(2/3)` What is `f'(x)` ?

Answer 1

`f'(x) = 2/(3root3x)`

Explanation:

NB: I have assumed that the upper case `F(x)` in the question is a meant to be the same as `f(x)`
`f(x) = x^(2/3)`

Using the power rule:

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

`= 2/3x^(-1/3)`

`= 2/(3root3x)`