Question

How do you find the derivative of `g(x)=root4(x)`?

Answer 1

The answer is `=1/(4root(4)(x^3))`

Explanation:

We use

`(x^n)'=nx^(n-1)`

`g(x)=root(4)x=x^(1/4)`

`g'(x)=1/4*x^(1/4-1)`

`=1/4x^(-3/4)=1/(4root(4)(x^3))`