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

1. ipm1988 Group Title

is it x^2 or 2x

2. v.s Group Title

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

3. ipm1988 Group Title

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

4. v.s Group Title

quotient rule

5. v.s Group Title

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

6. zepdrix Group Title

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 Group Title

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

8. v.s Group Title

is it correct?

9. cwrw238 Group Title

yes - now you need to multiply by the earlier result

10. v.s Group Title

do i have to expand?

11. cwrw238 Group Title

no but check if you can simplify