A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

(I really need help with this) The function F has first derivative given by f'(x) = (square root) X / 1 + x +x^3. What is the x- coordinate of the inflection point of the graph of F? (use calculator) I know its the second derivate. but can't get it.

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

    ok is the square root only in the numerator?

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea. Square root of X so its basically. x^(1/2)

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

    if you're doing inflection points, you should have covered the multiplication rule and chain rule by now. just treat it as \[\sqrt{x}*(1+x+x^3)^{-1}\]

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i get one critical number at x = .4725

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

    also think 0 makes it undefined so it would be a critial number as well.

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

    hmmm i'll try and do it again. every time i get a different answer. can i see the derivation process. of \[\sqrt{x} \times (1+ x+ x ^{3}) ^{-1}\]

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    edit critical numbers above. should be -.1393 and 1.0080...

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks :)

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

    ok, (1.0080, 0.3311) sould be an inflection point, curve changes from - to + concavity.

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I get undef for above & below -.1393. Seems like it's been forever since I was in Calculus I, hope the answer is correct.

  11. 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

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.