Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

v.s

  • 3 years ago

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

  • This Question is Closed
  1. ipm1988
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it x^2 or 2x

  2. v.s
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  3. ipm1988
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  4. v.s
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    quotient rule

  5. v.s
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  6. zepdrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  8. v.s
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it correct?

  9. cwrw238
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes - now you need to multiply by the earlier result

  10. v.s
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i have to expand?

  11. cwrw238
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no but check if you can simplify

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy