`g(x) = root(4)(x)` Use the rules of differentiation to find the derivative of the function.

Expert Answers
kalau eNotes educator| Certified Educator

The square root of a function can be rewritten as a fraction.

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

Use the power rule.

`g'(x)= 1/4 x^ (1/4-1)= 1/4 x^(-3/4)`

Rewrite the answer to eliminate the negative exponent.

The answer is:

`g'(x)=1/(4x^(3/4))`