## v.s Group Title Find the derivative of the function. y = [(x2 + 4)/(x2 − 4)]^3 2 years ago 2 years ago

1. ipm1988

is it x^2 or 2x

2. v.s

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

3. ipm1988

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

4. v.s

quotient rule

5. v.s

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

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. v.s

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

8. v.s

is it correct?

9. cwrw238

yes - now you need to multiply by the earlier result

10. v.s

do i have to expand?

11. cwrw238

no but check if you can simplify