Math Is Fun Forum

kgh

Member

Registered: 2009-02-08

Posts: 11

How do I differentiate this function?

f(x)= (2x^3+1)^2
      ------------------
         (4x^2-1)^3

I used the quotient rule and the chain rule, but I'm not sure how to simplify it.

I end up with:

f(x) 2(2x^3+1)(6x^2)(4x^2-1) - (2x^3+1)^2(3)(8x)
      ---------------------------------------------------------
                            (4x^2-1)^4

I factored out (4x^2-1), but can I simplify further? Thanks!

coffeeking

Member

Registered: 2007-11-18

Posts: 44

Re: How do I differentiate this function?

Well, if you wish