Math Help - Derive the expression

1. Derive the expression

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

2. Re: Derive the expression

What do you mean by derive? In case you want to differentiate then do it by product rule: ( uv)' = u'v+v'u

3. Re: Derive the expression

yes i used product rule but i did not get the answer of 1/3[(5x^2-3)/(x^2-1)^2/3)] which i should have so i am looking for the full workings of this problem

4. Re: Derive the expression

Remember, if you look at the function you can see that you need to use both the product and chain rules, so if I use the product rule first, it would be:

$\frac{d}{dx} x((x^2) - 1)^\frac{1}{3} = x\frac{d}{dx} ((x^2) - 1)^\frac{1}{3} + ((x^2) - 1)^\frac{1}{3}\frac{d}{dx} x$

Now you just need to use the chain rule and simplify the resulting expression.

5. Re: Derive the expression

Originally Posted by Lozeee
yes i used product rule but i did not get the answer of 1/3[(5x^2-3)/(x^2-1)^2/3)] which i should have so i am looking for the full workings of this problem
Then show us what you did! What did you get?