A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

relative extrema of x^3(x+1)^2

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

    first differentiate it to get f'. then equate f'=0 to get the critical points. differentiate again to get f". check which point that will yield f">0. then the x is the relative minima.

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

    for relative extrema, check which x u got yield f"<0

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

    product rule right?

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

    yes.

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

    for the (x+2)^2 part, do i do (x+1)(x+1) and derive the product of that?

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

    no. use this: if f(x)= (g(x))^n then f'(x) = n*g'(x)*(g(x))^(n-1)

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

    3x(x+1)^2 + (2x+2)(x^3)?

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

    Yes except you forgot the square on your first x

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

    3x^2*(x+1)^2 + (2x+2)(x^3). u forgot the square at front.

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

    how about 2x+3x^(2/3)?

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

    i end up getting 2x^(-1/3) +2

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

    thats correct

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

    from there i get 2/cube root x +2?

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

    yes.

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

    how do you do absolute value problems?

  16. 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.