- #1
beneakin
- 13
- 0
Homework Statement
Find the derivative:
( (X^3-1)/(X^3+1) )^1/3
Homework Equations
d/dx f(g(x)) = f'(g(x)) * g'(x)
quotient rule x/a x'a-xa'/a^2
The Attempt at a Solution
first i used the chain rule and quotient rule to get 1/3 ((x^3-1)/(x^3+1))^-2/3 * ((3x^2(x^3+1) - (x^3-1)3x^2)/(x^3+1)^2)
canceling some thing out on the second part of the neumerator i ended up with
1/3 ((x^3-1)/(x^3+1))^-2/3 * ((6x^2)/(x^3+1)^2)
if i try to simplify more it just get into a hole bunch of nasty fractions... and it just doesn't seem like the right answer, i must have taken a wrong turn some where
thanks a lot!