## anonymous 4 years ago Find the derivative of the function. y = [(x2 + 4)/(x2 − 4)]^3

1. anonymous

is it x^2 or 2x

2. anonymous

$(\frac{x ^{2}+4 }{x ^{2}-4 })^{3}$

3. anonymous

there are three ways to do this question which one did you try

4. anonymous

quotient rule

5. anonymous

$3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}$

6. zepdrix

So that is the derivative of the outer function. Looks good so far. Now you multiply by the derivative of the inside? So what'd you get for your quotient rule? :D

7. anonymous

$3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}$*$\frac{ (2x)(x ^{2}-4)-(x ^{2}+4)(2x) }{ (x ^{2}-4)^{2} }$

8. anonymous

is it correct?

9. cwrw238

yes - now you need to multiply by the earlier result

10. anonymous

do i have to expand?

11. cwrw238

no but check if you can simplify