A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

f(x)=3x^2-12x+5, find the absolute max and min value of f(x) on the interval [0,1]. From f'(x), i found x=2. Is this valid to use it on f(x) to check the min/max value? Or is it out of the interval?

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

    yes, you can use it on f(x) to get the max/min value

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

    but the function wil only have a minimum value, the max value is infinity

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

    this interval [0,1]. is this means x,y format? or x=0 and x=1

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

    oh, i didnt see there's an interval. you can't use x=2 then

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

    so i found that f(0) is the maximum, and f(1) is the minimum. Is this correct?

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

    i think so f(0) = 5 and f(1) = abs(-4) = 4

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

    and also out of question, the f''(x) can be used for finding local max min, yes?

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

    i have f''(x) =6, and i need to find local min max in interval [1,infinity]

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

    yes, from wikipedia : If then has a local maximum at . If then has a local minimum at . If , the second derivative test says nothing about the point , a possible inflection point.

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

    if f''(x) < 0 then f(x) has a local maximum at x if f''(x) > 0 then f(x) has a local minimum at x

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

    then for my problem is i dont have local maximum? since i have only f''(x)= 6 which is > 0

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

    yes you dont, the function only has one minimum point

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

    thank you, that was very helpful. :)

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

    you're welcome

  15. 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.